# zbMATH — the first resource for mathematics

## Xiao, Jie

Compute Distance To:
 Author ID: xiao.jie.1 Published as: Xiao, J.; Xiao, Jie Homepage: https://www.mun.ca/math/people/ppl-faculty/jxiao.php External Links: MGP · ResearchGate
 Documents Indexed: 191 Publications since 1988, including 5 Books Reviewing Activity: 18 Reviews
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#### Co-Authors

 79 single-authored 9 Adams, David Randolph 8 Liu, Liguang 6 Wirths, Karl-Joachim 6 Yang, Dachun 5 Wang, Yuzhao 4 Essén, Matts Raguel 4 Hou, Shaoxiong 4 Jiang, Renjin 4 Zhang, Junjie 4 Zhang, Ning 4 Zhou, Yuan 3 Aulaskari, Rauno 3 Chang, Der-Chen E. 3 Dafni, Galia 3 Gauthier, Paul M. 3 Karadzhov, Georgi Eremiev 3 Lappan, Peter A. 3 Luo, Shuaibing 3 Shi, Shaoguang 3 Wang, Chunjie 3 Zhai, Zhichun 3 Zhao, Ruhan 2 Chen, Wengu 2 Jarchow, Hans 2 Li, Junfeng 2 Milman, Mario Marcos 2 Pérez-González, Fernando 2 Wang, Jianfei 2 Xu, Wen 2 Ye, Deping 2 Yuan, Wen 2 Zhang, Gaoyong 2 Zhu, Kehe 1 Colesanti, Andrea 1 Duong, Xuan Thinh 1 Gu, Caixing 1 Gu, Qingsong 1 Guo, Zihua 1 Haberl, Christoph 1 Janson, Svante 1 Koskela, Pekka 1 Kotilainen, Marko 1 Kurdyka, Krzysztof 1 Latvala, Visa 1 Li, Kangwei 1 Li, Pengtao 1 Liu, Yu 1 Liu, Yu 1 Lombardi, Nico 1 Ludwig, Monika 1 Montesinos Santalucia, Vicente 1 Ndiaye, Cheikh Birahim 1 Nicolau, Artur 1 Nyström, Kaj 1 Pang, Peter Y. H. 1 Pavlović, Miroslav 1 Peng, Lizhong 1 Salani, Paolo 1 Schuster, Franz E. 1 Shen, Xiechang 1 Song, Liang 1 Sun, Yuhua 1 Tan, Haiou 1 Wang, Zecheng 1 Wulan, Hasi 1 Xu, Fanheng 1 Yan, Lixin 1 Yan, Xuefang 1 Yang, Deane 1 Yang, Qixiang 1 Yuan, Cheng 1 Zhang, Yi Ru-Ya 1 Zhao, Dahong 1 Zhong, Lefan 1 Zhou, Fujie
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#### Serials

 10 Advances in Mathematics 8 The Journal of Geometric Analysis 7 Journal of Functional Analysis 5 Journal of Differential Equations 4 Journal of Mathematical Analysis and Applications 4 Mathematische Annalen 4 Calculus of Variations and Partial Differential Equations 4 Dynamics of Partial Differential Equations 3 Arkiv för Matematik 3 Indiana University Mathematics Journal 3 Proceedings of the American Mathematical Society 3 Complex Variables. Theory and Application 3 The Journal of Fourier Analysis and Applications 3 The Asian Journal of Mathematics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Advances in Nonlinear Analysis 2 Bulletin of the Australian Mathematical Society 2 Communications in Mathematical Physics 2 Mathematische Nachrichten 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Results in Mathematics 2 Advances in Mathematics 2 Approximation Theory and its Applications 2 Acta Scientiarum Naturalium Universitatis Pekinensis 2 Science in China. Series A 2 Communications in Partial Differential Equations 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Expositiones Mathematicae 2 Chinese Science Bulletin 2 Potential Analysis 2 Applied and Computational Harmonic Analysis 2 Communications in Contemporary Mathematics 2 Journal of the Australian Mathematical Society 2 Lecture Notes in Mathematics 2 Complex Analysis and Operator Theory 2 Advances in Calculus of Variations 1 Journal of Mathematical Physics 1 Studia Mathematica 1 Acta Mathematica Sinica 1 Acta Scientiarum Mathematicarum 1 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Archiv der Mathematik 1 Bulletin of the Malaysian Mathematical Society. Second Series 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Illinois Journal of Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Integral Equations and Operator Theory 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Real Analysis Exchange 1 Tohoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Journal of Operator Theory 1 Journal of Mathematical Research & Exposition 1 Analysis 1 Note di Matematica 1 Journal of Hunan University 1 Chinese Annals of Mathematics. Series A 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Hunan Annals of Mathematics 1 Northeastern Mathematical Journal 1 Journal of Xinjiang University. Natural Science 1 Acta Scientiarum Naturalium Universitatis Normalis Hunanensis 1 Forum Mathematicum 1 Systems Science and Mathematical Sciences 1 Journal of Natural Science of Heilongjiang University 1 Journal of the Australian Mathematical Society. Series A 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Acta Mathematica Scientia 1 Acta Mathematica Sinica. New Series 1 Indagationes Mathematicae. New Series 1 SUT Journal of Mathematics 1 New Zealand Journal of Mathematics 1 Journal of Mathematical Sciences (New York) 1 Electronic Journal of Differential Equations (EJDE) 1 Journal of Huaihua Teacher’s College. Natural Science 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Bulletin des Sciences Mathématiques 1 Advances in Differential Equations 1 Pure and Applied Mathematics 1 Discrete and Continuous Dynamical Systems 1 Taiwanese Journal of Mathematics 1 Chinese Quarterly Journal of Mathematics 1 Journal of Mathematical Fluid Mechanics 1 Journal of the European Mathematical Society (JEMS) 1 Annales Henri Poincaré 1 Advances in Geometry 1 Communications on Pure and Applied Analysis 1 Computational Methods and Function Theory 1 Archives of Inequalities and Applications 1 Analysis in Theory and Applications 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V ...and 7 more Serials
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#### Fields

 85 Functional analysis (46-XX) 74 Functions of a complex variable (30-XX) 54 Potential theory (31-XX) 42 Partial differential equations (35-XX) 36 Operator theory (47-XX) 32 Harmonic analysis on Euclidean spaces (42-XX) 13 Differential geometry (53-XX) 12 Real functions (26-XX) 10 Several complex variables and analytic spaces (32-XX) 7 Convex and discrete geometry (52-XX) 5 Measure and integration (28-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Fluid mechanics (76-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Approximations and expansions (41-XX) 2 Geometry (51-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX)

#### Citations contained in zbMATH Open

137 Publications have been cited 1,688 times in 892 Documents Cited by Year
Holomorphic $$Q$$ classes. Zbl 0983.30001
Xiao, Jie
2001
Morrey spaces in harmonic analysis. Zbl 1254.31009
Adams, David R.; Xiao, Jie
2012
On subspaces and subsets of BMOA and UBC. Zbl 0835.30027
Aulaskari, Rauno; Xiao, Jie; Zhao, Ruhan
1995
An asymmetric affine Pólya-Szegő principle. Zbl 1241.26014
Haberl, Christoph; Schuster, Franz E.; Xiao, Jie
2012
Nonlinear potential analysis on Morrey spaces and their capacities. Zbl 1100.31009
Adams, David R.; Xiao, Jie
2004
$$Q$$ spaces of several real variables. Zbl 0984.46020
Essén, Matts; Janson, Svante; Peng, Lizhong; Xiao, Jie
2000
Some new tent spaces and duality theorems for fractional Carleson measures and $$Q_{\alpha}(\mathbb R^n)$$. Zbl 1062.42011
Dafni, Galia; Xiao, Jie
2004
Riemann-Stieltjes operators on weighted Bloch and Bergman spaces of the unit ball. Zbl 1064.47034
Xiao, Jie
2004
$$L^p$$ and BMO bounds of weighted Hardy-Littlewood averages. Zbl 1009.42013
Xiao, J.
2001
Old and new Morrey spaces with heat kernel bounds. Zbl 1133.42017
Duong, Xuan Thinh; Xiao, Jie; Yan, Lixin
2007
Homothetic variant of fractional Sobolev space with application to Navier-Stokes system. Zbl 1147.42008
Xiao, Jie
2007
Geometric $$Q_p$$ functions. Zbl 1104.30036
Xiao, Jie
2006
Sharp convex Lorentz-Sobolev inequalities. Zbl 1220.26020
Ludwig, Monika; Xiao, Jie; Zhang, Gaoyong
2011
Several function-theoretic characterizations of Möbius invariant $$\mathcal Q_K$$ spaces. Zbl 1089.30049
Essén, Matts; Wulan, Hasi; Xiao, Jie
2006
Some results on $$Q_ p$$ spaces, $$0<p<1$$. Zbl 0866.30027
Essén, Matts; Xiao, Jie
1997
The $${\mathcal Q}_p$$ Carleson measure problem. Zbl 1142.30021
Xiao, Jie
2008
Composition operators associated with Bloch-type spaces. Zbl 1044.47020
Xiao, J.
2001
Bounded functions in Möbius invariant Dirichlet spaces. Zbl 0886.30036
Nicolau, Artur; Xiao, Jie
1997
The Hadamard variational formula and the Minkowski problem for $$p$$-capacity. Zbl 1327.31024
Colesanti, A.; Nyström, K.; Salani, P.; Xiao, J.; Yang, D.; Zhang, G.
2015
Cesàro-type operators on Hardy, $$BMOA$$ and Bloch spaces. Zbl 0870.30026
Xiao, Jie
1997
The sharp Sobolev and isoperimetric inequalities split twice. Zbl 1125.26026
Xiao, Jie
2007
Morrey potentials and harmonic maps. Zbl 1229.31006
Adams, David R.; Xiao, Jie
2011
Strong type estimates for homogeneous Besov capacities. Zbl 1056.31008
Adams, D. R.; Xiao, J.
2003
Carleson measure, atomic decomposition and free interpolation from Bloch space. Zbl 0816.30025
Xiao, Jie
1994
Volume integral means of holomorphic functions. Zbl 1215.32002
Xiao, Jie; Zhu, Kehe
2011
Global mild solutions to modified Navier-Stokes equations with small initial data in critical Besov-Q spaces. Zbl 1301.35091
Li, Pengtao; Xiao, Jie; Yang, Qixiang
2014
Regularity of Morrey commutators. Zbl 1293.42012
Adams, David R.; Xiao, Jie
2012
The dyadic structure and atomic decomposition of $$Q$$ spaces in several real variables. Zbl 1129.42400
Dafni, Galia; Xiao, Jie
2005
Fractional Sobolev, Moser-Trudinger, Morrey-Sobolev inequalities under Lorentz norms. Zbl 1307.46027
Xiao, J.; Zhai, Zh.
2010
A sharp Sobolev trace inequality for the fractional-order derivatives. Zbl 1096.46019
Xiao, Jie
2006
On $$\alpha$$-Bloch spaces and multipliers of Dirichlet spaces. Zbl 0892.30030
Aulaskari, Rauno; Lappan, Peter; Xiao, Jie; Zhao, Ruhan
1997
Analytic Campanato spaces and their compositions. Zbl 1333.30068
Xiao, Jie; Yuan, Cheng
2015
Recognizing $$\mathfrak{Q}_{p,0}$$ functions per Dirichlet space structure. Zbl 0989.30024
Wirths, K. J.; Xiao, J.
2001
The $$Q_ p$$ corona theorem. Zbl 1041.46020
Xiao, Jie
2000
Homothetic variant of fractional Sobolev space with application to Navier-Stokes system revisited. Zbl 1302.35303
Xiao, Jie
2014
Weighted scale estimations for Calderón-Zygmund type operators. Zbl 1188.42004
Chang, Der-Chen; Li, Jun-Feng; Xiao, Jie
2007
BiBloch-type maps: existence and beyond. Zbl 1026.30035
Gauthier, Paul M.; Xiao, Jie
2002
Restrictions of Riesz-Morrey potentials. Zbl 1364.31011
Adams, David R.; Xiao, Jie
2016
Limits of higher-order Besov spaces and sharp reiteration theorems. Zbl 1102.46022
Karadzhov, G. E.; Milman, M.; Xiao, J.
2005
Composition operators between Nevanlinna classes and Bergman spaces with weights. Zbl 0996.47031
Jarchow, Hans; Xiao, Jie
2001
An image-area inequality for some planar holomorphic maps. Zbl 0954.30017
Wirths, K. J.; Xiao, J.
2000
The $$\overline{\partial}$$-problem for multipliers of the Sobolev space. Zbl 1049.30025
Xiao, Jie
1998
Restricting Riesz-Morrey-Hardy potentials. Zbl 1364.31001
Liu, Liguang; Xiao, Jie
2017
Towards spaces of harmonic functions with traces in square Campanato spaces and their scaling invariants. Zbl 1366.46022
Jiang, Renjin; Xiao, Jie; Yang, Dachun
2016
Composition operators between analytic Campanato spaces. Zbl 1301.30056
Xiao, Jie; Xu, Wen
2014
Homogeneous endpoint Besov space embeddings by Hausdorff capacity and heat equation. Zbl 1104.46022
Xiao, Jie
2006
The $$p$$-affine capacity. Zbl 1408.52011
Xiao, Jie
2016
Homogeneous Campanato-Sobolev classes. Zbl 1320.31016
Wang, Yuzhao; Xiao, Jie
2015
Some essential properties of $$Q_p(\partial\Delta)$$-spaces. Zbl 0960.42011
Xiao, Jie
2000
A quasiconformal composition problem for the $$Q$$-spaces. Zbl 1372.42017
Koskela, Pekka; Xiao, Jie; Zhang, Yi Ru-Ya; Zhou, Yuan
2017
Corrigendum to: “The sharp Sobolev and isoperimetric inequalities split twice”. Zbl 1304.26022
Xiao, Jie
2015
Sharp well-posedness for the Benjamin equation. Zbl 1229.35241
Chen, W.; Guo, Z.; Xiao, J.
2011
Carleson embeddings for Sobolev spaces via heat equation. Zbl 1104.31004
Xiao, Jie
2006
Some results on $$Q_p$$ spaces, $$0<p<1$$, continued. Zbl 1077.30048
Xiao, Jie
2005
A constructive approach to positive solutions of $$\delta_pu+f(u,u)$$ on Riemannian manifolds. Zbl 1353.58009
Wang, Yuzhao; Xiao, Jie
2016
On fractional capacities relative to bounded open Lipschitz sets. Zbl 1348.31001
Shi, Shaoguang; Xiao, Jie
2016
Erratum to: “Morrey potentials and harmonic maps”. Zbl 1332.31014
Adams, David R.; Xiao, Jie
2015
Logarithmic convexity of area integral means for analytic functions. II. Zbl 1316.30050
Wang, Chunjie; Xiao, Jie; Zhu, Kehe
2015
The $$p$$-Faber-Krahn inequality noted. Zbl 1185.26033
Xiao, Jie
2010
The existence of universal inner functions on the unit ball of $$\mathbb C^n$$. Zbl 1105.32003
Gauthier, P. M.; Xiao, J.
2005
Global integral criteria for composition operators. Zbl 1015.30017
Wirths, K.-J.; Xiao, J.
2002
Composition operators: $${\mathcal N}_\alpha$$ to the Bloch space to $${\mathcal Q}_\beta$$. Zbl 0963.30021
Xiao, Jie
2000
On little Bloch space, its Carleson measure, atomic decomposition and free interpolation. Zbl 0845.30023
Xiao, Jie; Zhong, Lefan
1995
A trace problem for associate Morrey potentials. Zbl 1398.31004
Xiao, Jie
2018
A new perspective on the Riesz potential. Zbl 1368.31002
Xiao, Jie
2017
$$P$$-capacity vs surface-area. Zbl 1361.31008
Xiao, Jie
2017
Optimal geometric estimates for fractional Sobolev capacities. Zbl 1361.31009
Xiao, Jie
2016
Addendum to “Gaussian integral means of entire functions”. Zbl 1336.30043
Wang, Chunjie; Xiao, Jie
2016
Gaussian integral means of entire functions. Zbl 1303.30024
Wang, Chunjie; Xiao, Jie
2014
A sharp bilinear estimate for the Bourgain-type space with application to the Benjamin equation. Zbl 1228.35198
Chen, Wengu; Xiao, Jie
2010
Well-posedness of the fifth order Kadomtsev-Petviashvili I equation in anisotropic Sobolev spaces with nonnegative indices. Zbl 1154.35016
Li, Junfeng; Xiao, Jie
2008
Compact composition operators on the area-Nevanlinna class. Zbl 0977.30031
Xiao, Jie
1999
A trace law for the Hardy-Morrey-Sobolev space. Zbl 1379.31011
Liu, Liguang; Xiao, Jie
2018
The $$\infty$$-Besov capacity problem. Zbl 1383.31005
Milman, M.; Xiao, J.
2017
Anisotropic Sobolev capacity with fractional order. Zbl 1381.46034
Xiao, Jie; Ye, Deping
2017
Analytic Campanato spaces by functionals and operators. Zbl 1361.30101
Wang, J.; Xiao, J.
2016
The relative $$p$$-affine capacity. Zbl 1406.46028
Xiao, J.; Zhang, N.
2016
Weighted integral means of mixed areas and lengths under holomorphic mappings. Zbl 1313.32024
Xiao, Jie; Xu, Wen
2014
Riemann-Stieltjes operators between weighted Bergman spaces. Zbl 1186.47034
Xiao, Jie
2007
Splitting planar isoperimetric inequality through preduality of $$Q_p, 0 < p <1$$. Zbl 1097.30039
Pavlović, Miroslav; Xiao, Jie
2006
BMOA $$(R,m)$$ and capacity density Bloch spaces on hyperbolic Riemann surfaces. Zbl 0856.30026
Aulaskari, Rauno; Lappan, Peter; Xiao, Jie; Zhao, Ruhan
1996
Well/ill-posedness for the dissipative Navier-Stokes system in generalized Carleson measure spaces. Zbl 1421.35256
Wang, Yuzhao; Xiao, Jie
2019
A mixed volumetry for the anisotropic logarithmic potential. Zbl 1412.31006
Hou, S.; Xiao, J.
2018
Morrey potentials from Campanato classes. Zbl 1404.31021
Liu, Liguang; Xiao, Jie
2018
The $$p$$-affine capacity redux. Zbl 1391.53009
Xiao, Jie
2017
Reducing subspaces for multiplication operators on the Dirichlet space through local inverses and Riemann surfaces. Zbl 06815228
Gu, Caixing; Luo, Shuaibing; Xiao, Jie
2017
Holomorphic Campanato spaces on the unit ball. Zbl 1367.32007
Wang, Jianfei; Xiao, Jie
2017
Nonnegative solutions of a fractional sub-Laplacian differential inequality on Heisenberg group. Zbl 1335.35264
Liu, Y.; Wang, Y.; Xiao, J.
2015
Regularity and capacity for the fractional dissipative operator. Zbl 1333.35324
Jiang, Renjin; Xiao, Jie; Yang, Dachun; Zhai, Zhichun
2015
On the variational $$p$$-capacity problem in the plane. Zbl 1315.31001
Xiao, Jie
2015
Preduals of quadratic Campanato spaces associated to operators with heat kernel bounds. Zbl 1308.42024
Song, Liang; Xiao, Jie; Yan, Xuefang
2014
An upper bound of the total Q-curvature and its isoperimetric deficit for higher-dimensional conformal Euclidean metrics. Zbl 1198.53009
Ndiaye, C. B.; Xiao, J.
2010
$$Q_p$$ spaces – a survey. Zbl 0981.30025
Essén, Matts; Xiao, Jie
2001
Mean Hölder-Lipschitz potentials in curved Campanato-Radon spaces and equations $$(-\Delta)^{\frac{\alpha}{2}}u=\mu = F_k[u]$$. Zbl 1425.35217
Liu, Liguang; Xiao, Jie
2019
The transport equation in the scaling invariant Besov or Essén-Janson-Peng-Xiao space. Zbl 1412.35068
Xiao, Jie
2019
Exploiting log-capacity in convex geometry. Zbl 1402.31006
Xiao, Jie
2018
Cordes-Nirenberg’s imbedding and restricting with application to an elliptic equation. Zbl 1402.35101
Hou, S.; Xiao, J.
2018
Fractional capacities relative to bounded open Lipschitz sets complemented. Zbl 1362.31002
Shi, S.; Xiao, J.
2017
Gaussian $$\mathcal{BV}$$ capacity. Zbl 1342.28029
Xiao, Jie
2016
$$L^q$$-extensions of $$L^p$$-spaces by fractional diffusion equations. Zbl 1303.31007
Chang, Der-Chen; Xiao, Jie
2015
Prescribing capacitary curvature measures on planar convex domains. Zbl 1445.52001
Xiao, Jie
2020
Well/ill-posedness for the dissipative Navier-Stokes system in generalized Carleson measure spaces. Zbl 1421.35256
Wang, Yuzhao; Xiao, Jie
2019
Mean Hölder-Lipschitz potentials in curved Campanato-Radon spaces and equations $$(-\Delta)^{\frac{\alpha}{2}}u=\mu = F_k[u]$$. Zbl 1425.35217
Liu, Liguang; Xiao, Jie
2019
The transport equation in the scaling invariant Besov or Essén-Janson-Peng-Xiao space. Zbl 1412.35068
Xiao, Jie
2019
Flow with $$A_\infty(\mathbb{R})$$ density and transport equation in $$\text{BMO}(\mathbb{R})$$. Zbl 1428.42035
Jiang, Renjin; Li, Kangwei; Xiao, Jie
2019
N-S systems via $$\mathcal{Q}$$-$$\mathcal{Q}^{-1}$$ spaces. Zbl 1419.35022
Xiao, Jie; Zhang, Junjie
2019
$$Q_\alpha$$ analysis on Euclidean spaces. Zbl 07014166
Xiao, Jie
2019
A trace problem for associate Morrey potentials. Zbl 1398.31004
Xiao, Jie
2018
A trace law for the Hardy-Morrey-Sobolev space. Zbl 1379.31011
Liu, Liguang; Xiao, Jie
2018
A mixed volumetry for the anisotropic logarithmic potential. Zbl 1412.31006
Hou, S.; Xiao, J.
2018
Morrey potentials from Campanato classes. Zbl 1404.31021
Liu, Liguang; Xiao, Jie
2018
Exploiting log-capacity in convex geometry. Zbl 1402.31006
Xiao, Jie
2018
Cordes-Nirenberg’s imbedding and restricting with application to an elliptic equation. Zbl 1402.35101
Hou, S.; Xiao, J.
2018
Toeplitz operator for Dirichlet space through Sobolev multiplier algebra. Zbl 06965377
Luo, Shuaibing; Xiao, Jie
2018
A mixed volume from the anisotropic Riesz-potential. Zbl 1390.52014
Hou, Shaoxiong; Xiao, Jie; Ye, Deping
2018
Relative $$\infty$$-capacity and its affinization. Zbl 1380.35052
Jiang, Renjin; Xiao, Jie; Yang, Dachun
2018
Restricting Riesz-Morrey-Hardy potentials. Zbl 1364.31001
Liu, Liguang; Xiao, Jie
2017
A quasiconformal composition problem for the $$Q$$-spaces. Zbl 1372.42017
Koskela, Pekka; Xiao, Jie; Zhang, Yi Ru-Ya; Zhou, Yuan
2017
A new perspective on the Riesz potential. Zbl 1368.31002
Xiao, Jie
2017
$$P$$-capacity vs surface-area. Zbl 1361.31008
Xiao, Jie
2017
The $$\infty$$-Besov capacity problem. Zbl 1383.31005
Milman, M.; Xiao, J.
2017
Anisotropic Sobolev capacity with fractional order. Zbl 1381.46034
Xiao, Jie; Ye, Deping
2017
The $$p$$-affine capacity redux. Zbl 1391.53009
Xiao, Jie
2017
Reducing subspaces for multiplication operators on the Dirichlet space through local inverses and Riemann surfaces. Zbl 06815228
Gu, Caixing; Luo, Shuaibing; Xiao, Jie
2017
Holomorphic Campanato spaces on the unit ball. Zbl 1367.32007
Wang, Jianfei; Xiao, Jie
2017
Fractional capacities relative to bounded open Lipschitz sets complemented. Zbl 1362.31002
Shi, S.; Xiao, J.
2017
A tracing of the fractional temperature field. Zbl 1394.35209
Shi, ShaoGuang; Xiao, Jie
2017
Entropy flux – electrostatic capacity – graphical mass. Zbl 1354.31009
Xiao, J.
2017
Restrictions of Riesz-Morrey potentials. Zbl 1364.31011
Adams, David R.; Xiao, Jie
2016
Towards spaces of harmonic functions with traces in square Campanato spaces and their scaling invariants. Zbl 1366.46022
Jiang, Renjin; Xiao, Jie; Yang, Dachun
2016
The $$p$$-affine capacity. Zbl 1408.52011
Xiao, Jie
2016
A constructive approach to positive solutions of $$\delta_pu+f(u,u)$$ on Riemannian manifolds. Zbl 1353.58009
Wang, Yuzhao; Xiao, Jie
2016
On fractional capacities relative to bounded open Lipschitz sets. Zbl 1348.31001
Shi, Shaoguang; Xiao, Jie
2016
Optimal geometric estimates for fractional Sobolev capacities. Zbl 1361.31009
Xiao, Jie
2016
Addendum to “Gaussian integral means of entire functions”. Zbl 1336.30043
Wang, Chunjie; Xiao, Jie
2016
Analytic Campanato spaces by functionals and operators. Zbl 1361.30101
Wang, J.; Xiao, J.
2016
The relative $$p$$-affine capacity. Zbl 1406.46028
Xiao, J.; Zhang, N.
2016
Gaussian $$\mathcal{BV}$$ capacity. Zbl 1342.28029
Xiao, Jie
2016
A uniqueness principle for $$u^p \leq(-\Delta)^{\frac{\alpha}{2}}u$$ in the Euclidean space. Zbl 1351.35256
Wang, Yuzhao; Xiao, Jie
2016
The $$p$$-harmonic capacity of an asymptotically flat 3-manifold with non-negative scalar curvature. Zbl 1345.83014
Xiao, Jie
2016
Conformal modulus and its reduction via mean curvatures. Zbl 1338.31012
Xiao, J.
2016
The Hadamard variational formula and the Minkowski problem for $$p$$-capacity. Zbl 1327.31024
Colesanti, A.; Nyström, K.; Salani, P.; Xiao, J.; Yang, D.; Zhang, G.
2015
Analytic Campanato spaces and their compositions. Zbl 1333.30068
Xiao, Jie; Yuan, Cheng
2015
Homogeneous Campanato-Sobolev classes. Zbl 1320.31016
Wang, Yuzhao; Xiao, Jie
2015
Corrigendum to: “The sharp Sobolev and isoperimetric inequalities split twice”. Zbl 1304.26022
Xiao, Jie
2015
Erratum to: “Morrey potentials and harmonic maps”. Zbl 1332.31014
Adams, David R.; Xiao, Jie
2015
Logarithmic convexity of area integral means for analytic functions. II. Zbl 1316.30050
Wang, Chunjie; Xiao, Jie; Zhu, Kehe
2015
Nonnegative solutions of a fractional sub-Laplacian differential inequality on Heisenberg group. Zbl 1335.35264
Liu, Y.; Wang, Y.; Xiao, J.
2015
Regularity and capacity for the fractional dissipative operator. Zbl 1333.35324
Jiang, Renjin; Xiao, Jie; Yang, Dachun; Zhai, Zhichun
2015
On the variational $$p$$-capacity problem in the plane. Zbl 1315.31001
Xiao, Jie
2015
$$L^q$$-extensions of $$L^p$$-spaces by fractional diffusion equations. Zbl 1303.31007
Chang, Der-Chen; Xiao, Jie
2015
Global mild solutions to modified Navier-Stokes equations with small initial data in critical Besov-Q spaces. Zbl 1301.35091
Li, Pengtao; Xiao, Jie; Yang, Qixiang
2014
Homothetic variant of fractional Sobolev space with application to Navier-Stokes system revisited. Zbl 1302.35303
Xiao, Jie
2014
Composition operators between analytic Campanato spaces. Zbl 1301.30056
Xiao, Jie; Xu, Wen
2014
Gaussian integral means of entire functions. Zbl 1303.30024
Wang, Chunjie; Xiao, Jie
2014
Weighted integral means of mixed areas and lengths under holomorphic mappings. Zbl 1313.32024
Xiao, Jie; Xu, Wen
2014
Preduals of quadratic Campanato spaces associated to operators with heat kernel bounds. Zbl 1308.42024
Song, Liang; Xiao, Jie; Yan, Xuefang
2014
A limiting weak type estimate for capacitary maximal function. Zbl 1284.42064
Xiao, Jie; Zhang, Ning
2014
Isocapacity estimates for Hessian operators. Zbl 1327.35106
Xiao, Jie; Zhang, Ning
2014
Singularities of nonlinear elliptic systems. Zbl 1281.35027
Adams, David R.; Xiao, Jie
2013
Morrey spaces in harmonic analysis. Zbl 1254.31009
Adams, David R.; Xiao, Jie
2012
An asymmetric affine Pólya-Szegő principle. Zbl 1241.26014
Haberl, Christoph; Schuster, Franz E.; Xiao, Jie
2012
Regularity of Morrey commutators. Zbl 1293.42012
Adams, David R.; Xiao, Jie
2012
Isoperimetry for semilinear torsion problems in Riemannian two-manifolds. Zbl 1243.49052
Xiao, Jie
2012
Sharp convex Lorentz-Sobolev inequalities. Zbl 1220.26020
Ludwig, Monika; Xiao, Jie; Zhang, Gaoyong
2011
Morrey potentials and harmonic maps. Zbl 1229.31006
Adams, David R.; Xiao, Jie
2011
Volume integral means of holomorphic functions. Zbl 1215.32002
Xiao, Jie; Zhu, Kehe
2011
Sharp well-posedness for the Benjamin equation. Zbl 1229.35241
Chen, W.; Guo, Z.; Xiao, J.
2011
Fractional Sobolev, Moser-Trudinger, Morrey-Sobolev inequalities under Lorentz norms. Zbl 1307.46027
Xiao, J.; Zhai, Zh.
2010
The $$p$$-Faber-Krahn inequality noted. Zbl 1185.26033
Xiao, Jie
2010
A sharp bilinear estimate for the Bourgain-type space with application to the Benjamin equation. Zbl 1228.35198
Chen, Wengu; Xiao, Jie
2010
An upper bound of the total Q-curvature and its isoperimetric deficit for higher-dimensional conformal Euclidean metrics. Zbl 1198.53009
Ndiaye, C. B.; Xiao, J.
2010
$$L^p$$-Green potential estimates on noncompact Riemannian manifolds. Zbl 1311.58010
Xiao, Jie
2010
The $${\mathcal Q}_p$$ Carleson measure problem. Zbl 1142.30021
Xiao, Jie
2008
Well-posedness of the fifth order Kadomtsev-Petviashvili I equation in anisotropic Sobolev spaces with nonnegative indices. Zbl 1154.35016
Li, Junfeng; Xiao, Jie
2008
Integral and functional analysis. Zbl 1193.28001
Xiao, Jie
2008
Classes of Carleson-type measures generated by capacities. Zbl 1139.46029
Dafni, G.; Karadzhov, G. E.; Xiao, J.
2008
Old and new Morrey spaces with heat kernel bounds. Zbl 1133.42017
Duong, Xuan Thinh; Xiao, Jie; Yan, Lixin
2007
Homothetic variant of fractional Sobolev space with application to Navier-Stokes system. Zbl 1147.42008
Xiao, Jie
2007
The sharp Sobolev and isoperimetric inequalities split twice. Zbl 1125.26026
Xiao, Jie
2007
Weighted scale estimations for Calderón-Zygmund type operators. Zbl 1188.42004
Chang, Der-Chen; Li, Jun-Feng; Xiao, Jie
2007
Riemann-Stieltjes operators between weighted Bergman spaces. Zbl 1186.47034
Xiao, Jie
2007
Geometric $$Q_p$$ functions. Zbl 1104.30036
Xiao, Jie
2006
Several function-theoretic characterizations of Möbius invariant $$\mathcal Q_K$$ spaces. Zbl 1089.30049
Essén, Matts; Wulan, Hasi; Xiao, Jie
2006
A sharp Sobolev trace inequality for the fractional-order derivatives. Zbl 1096.46019
Xiao, Jie
2006
Homogeneous endpoint Besov space embeddings by Hausdorff capacity and heat equation. Zbl 1104.46022
Xiao, Jie
2006
Carleson embeddings for Sobolev spaces via heat equation. Zbl 1104.31004
Xiao, Jie
2006
Splitting planar isoperimetric inequality through preduality of $$Q_p, 0 < p <1$$. Zbl 1097.30039
Pavlović, Miroslav; Xiao, Jie
2006
Carleson type theorems for certain convolution operators. Zbl 1130.42014
Karadzhov, G. E.; Xiao, J.
2006
The dyadic structure and atomic decomposition of $$Q$$ spaces in several real variables. Zbl 1129.42400
Dafni, Galia; Xiao, Jie
2005
Limits of higher-order Besov spaces and sharp reiteration theorems. Zbl 1102.46022
Karadzhov, G. E.; Milman, M.; Xiao, J.
2005
Some results on $$Q_p$$ spaces, $$0<p<1$$, continued. Zbl 1077.30048
Xiao, Jie
2005
The existence of universal inner functions on the unit ball of $$\mathbb C^n$$. Zbl 1105.32003
Gauthier, P. M.; Xiao, J.
2005
Bloch-Sobolev spaces and analytic composition operators. Zbl 1102.31005
Kotilainen, Marko; Latvala, Visa; Xiao, Jie
2005
Nonlinear potential analysis on Morrey spaces and their capacities. Zbl 1100.31009
Adams, David R.; Xiao, Jie
2004
Some new tent spaces and duality theorems for fractional Carleson measures and $$Q_{\alpha}(\mathbb R^n)$$. Zbl 1062.42011
Dafni, Galia; Xiao, Jie
2004
Riemann-Stieltjes operators on weighted Bloch and Bergman spaces of the unit ball. Zbl 1064.47034
Xiao, Jie
2004
Strong type estimates for homogeneous Besov capacities. Zbl 1056.31008
Adams, D. R.; Xiao, J.
2003
BiBloch-type maps: existence and beyond. Zbl 1026.30035
Gauthier, Paul M.; Xiao, Jie
2002
Global integral criteria for composition operators. Zbl 1015.30017
Wirths, K.-J.; Xiao, J.
2002
...and 37 more Documents
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#### Cited by 807 Authors

 87 Xiao, Jie 62 Yang, Dachun 36 Yuan, Wen 22 Wulan, Hasi 19 Li, Pengtao 19 Li, Songxiao 18 Stević, Stevo 16 Sawano, Yoshihiro 14 Fu, Zunwei 13 Bao, Guanlong 13 Liu, Liguang 13 Lou, Zengjian 12 Shi, Shaoguang 12 Wang, Weidong 12 Yang, Qixiang 11 Aulaskari, Rauno 11 Girela, Daniel 11 Tanaka, Hitoshi 10 Liu, Junming 10 Nguyen Minh Chuong 10 Rättyä, Jouni 9 Duong, Dao Van 9 Mizuta, Yoshihiro 9 Pau, Jordi 9 Yang, Sibei 9 Zhao, Ruhan 9 Zhou, Zehua 9 Zhuo, Ciqiang 8 Adams, David Randolph 8 Ahmed, Ahmed El-Sayed 8 Haroske, Dorothee D. 8 Shimomura, Tetsu 8 Zhai, Zhichun 7 Chang, Der-Chen E. 7 Doubtsov, Evgueni Sergeevich 7 Galanopoulos, Petros 7 Jiang, Renjin 7 Lu, Shanzhen 7 Ohno, Takao 7 Peláez, José Ángel 7 Qian, Ruishen 7 Yuan, Cheng 7 Zhao, Changjian 7 Zhou, Jiazu 7 Zhou, Jizhen 7 Zhu, Kehe 6 Cao, Jun 6 Colesanti, Andrea 6 Haberl, Christoph 6 Liu, Yongmin 6 Liu, Yu 6 Rosenthal, Marcel 6 Samko, Natasha 6 Skrzypczak, Leszek 6 Sun, Yuhua 6 Volosivets, Sergeĭ Sergeevich 6 Wang, Chunjie 6 Yang, Deane 6 Ye, Deping 6 Zhang, Gaoyong 6 Zhang, Xuejun 6 Zhu, Guangxian 5 Aleman, Alexandru 5 Böröczky, Karoly jun. 5 Ho, Kwok-Pun 5 Lin, Yan 5 Luo, Shuaibing 5 Merchán, Noel 5 Nguyễn Văn Hoàng 5 Pérez-González, Fernando 5 Ramos-Fernández, Julio C. 5 Reséndis Ocampo, Lino Feliciano 5 Sickel, Winfried 5 Tong, Cezhong 5 Tovar, Luis Manuel 5 Triebel, Hans 5 Wang, Maofa 5 Wu, Qingyan 5 Yang, Congli 5 Yang, Minghua 5 Ye, Fangqin 5 Yu, Yanyan 5 Zhang, Ning 5 Zhou, Yuan 5 Zhu, Baocheng 4 Avetisyan, Karen L. 4 Chamorro, Diego 4 Chen, Shaolin 4 Dafni, Galia 4 Fang, Niufa 4 Feng, Yibin 4 Haddad, Julián 4 Hou, Shaoxiong 4 Huang, Jizheng 4 Huang, Qingzhong 4 Hung, Ha Duy 4 Hussain, Amjad 4 Jiménez, Carlos Hugo 4 Leng, Gangsong 4 Liang, YiYu ...and 707 more Authors
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#### Cited in 186 Serials

 107 Journal of Mathematical Analysis and Applications 41 Journal of Functional Analysis 27 The Journal of Geometric Analysis 26 Complex Variables and Elliptic Equations 25 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 25 Proceedings of the American Mathematical Society 24 Complex Analysis and Operator Theory 24 Science China. Mathematics 21 Advances in Mathematics 20 Journal of Function Spaces 19 Journal of Inequalities and Applications 17 Abstract and Applied Analysis 13 Journal of Differential Equations 13 Transactions of the American Mathematical Society 12 Calculus of Variations and Partial Differential Equations 11 Rocky Mountain Journal of Mathematics 11 Integral Equations and Operator Theory 11 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 10 Revista Matemática Complutense 9 Bulletin of the Australian Mathematical Society 9 Advances in Applied Mathematics 9 Potential Analysis 9 Annales Academiae Scientiarum Fennicae. Mathematica 8 Applied Mathematics and Computation 8 Mathematische Nachrichten 8 Taiwanese Journal of Mathematics 8 Acta Mathematica Sinica. English Series 8 Journal of the Australian Mathematical Society 8 Computational Methods and Function Theory 7 Journal d’Analyse Mathématique 7 Journal of Function Spaces and Applications 7 Banach Journal of Mathematical Analysis 6 Archiv der Mathematik 6 Collectanea Mathematica 6 Mathematische Zeitschrift 6 Zeitschrift für Analysis und ihre Anwendungen 6 Bulletin des Sciences Mathématiques 6 Integral Transforms and Special Functions 6 The Journal of Fourier Analysis and Applications 6 Frontiers of Mathematics in China 5 Applicable Analysis 5 Mathematical Methods in the Applied Sciences 5 Arkiv för Matematik 5 Mathematische Annalen 5 Georgian Mathematical Journal 5 Analysis and Applications (Singapore) 5 Mediterranean Journal of Mathematics 4 Canadian Mathematical Bulletin 4 Glasgow Mathematical Journal 4 Journal of Approximation Theory 4 Results in Mathematics 4 Journal of Mathematical Sciences (New York) 4 Discrete and Continuous Dynamical Systems 4 Positivity 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Journal of Mathematical Inequalities 4 Advances in Calculus of Variations 4 Journal of Nonlinear Science and Applications 3 Computers & Mathematics with Applications 3 Journal of Mathematical Physics 3 Mathematical Notes 3 Annales Polonici Mathematici 3 International Journal of Mathematics and Mathematical Sciences 3 Memoirs of the American Mathematical Society 3 Nagoya Mathematical Journal 3 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Indagationes Mathematicae. New Series 3 Advances in Applied Clifford Algebras 3 Communications in Contemporary Mathematics 3 Nonlinear Analysis. Real World Applications 3 Advanced Nonlinear Studies 3 Journal of Pseudo-Differential Operators and Applications 3 Kyoto Journal of Mathematics 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Advances in Nonlinear Analysis 2 Communications in Mathematical Physics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Czechoslovak Mathematical Journal 2 Journal of Computational and Applied Mathematics 2 Journal of the Mathematical Society of Japan 2 Monatshefte für Mathematik 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Tokyo Journal of Mathematics 2 Bulletin of the Korean Mathematical Society 2 Constructive Approximation 2 Revista Matemática Iberoamericana 2 Applied Mathematics Letters 2 Journal of the American Mathematical Society 2 Mathematical and Computer Modelling 2 Forum Mathematicum 2 Science in China. Series A 2 International Journal of Mathematics 2 Communications in Partial Differential Equations 2 Journal of Nonlinear Science 2 Russian Mathematics 2 The Journal of Analysis 2 Applied Mathematics. Series B (English Edition) 2 Applied and Computational Harmonic Analysis ...and 86 more Serials
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#### Cited in 39 Fields

 324 Functional analysis (46-XX) 258 Functions of a complex variable (30-XX) 254 Operator theory (47-XX) 253 Harmonic analysis on Euclidean spaces (42-XX) 145 Partial differential equations (35-XX) 95 Convex and discrete geometry (52-XX) 80 Several complex variables and analytic spaces (32-XX) 77 Potential theory (31-XX) 60 Real functions (26-XX) 26 Fluid mechanics (76-XX) 25 Differential geometry (53-XX) 12 Ordinary differential equations (34-XX) 12 Integral equations (45-XX) 11 Measure and integration (28-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Abstract harmonic analysis (43-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 6 Biology and other natural sciences (92-XX) 5 Topological groups, Lie groups (22-XX) 4 Geometry (51-XX) 4 Probability theory and stochastic processes (60-XX) 3 Special functions (33-XX) 3 Approximations and expansions (41-XX) 3 Optics, electromagnetic theory (78-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Integral transforms, operational calculus (44-XX) 2 Manifolds and cell complexes (57-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Algebraic topology (55-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX)