Li, Xuexin; Xing, Yuming; Niu, Jinling Weak and strong type estimates for multilinear Calderón-Zygmund operators on differential forms. (English) Zbl 07465070 J. Inequal. Appl. 2021, Paper No. 92, 17 p. (2021). MSC: 42Bxx 35Jxx 58Axx PDF BibTeX XML Cite \textit{X. Li} et al., J. Inequal. Appl. 2021, Paper No. 92, 17 p. (2021; Zbl 07465070) Full Text: DOI OpenURL
Wang, Jianwei; Xing, Yuming Commutators of operators in Musielak-Orlicz-Morrey spaces on differential forms. (English) Zbl 1478.42025 Ann. Funct. Anal. 12, No. 4, Paper No. 59, 18 p. (2021). MSC: 42B35 46E30 35J60 PDF BibTeX XML Cite \textit{J. Wang} and \textit{Y. Xing}, Ann. Funct. Anal. 12, No. 4, Paper No. 59, 18 p. (2021; Zbl 1478.42025) Full Text: DOI OpenURL
Ding, Shusen; Shi, Guannan; Xing, Yuming Norm estimates for the composite operators. (English) Zbl 07392120 Rassias, Themistocles M. (ed.) et al., Nonlinear analysis and global optimization. Cham: Springer. Springer Optim. Appl. 167, 193-206 (2021). MSC: 47-XX 90C26 26E25 PDF BibTeX XML Cite \textit{S. Ding} et al., Springer Optim. Appl. 167, 193--206 (2021; Zbl 07392120) Full Text: DOI OpenURL
Guzmán, Johnny; Salgado, Abner J. Estimation of the continuity constants for Bogovskiĭ and regularized Poincaré integral operators. (English) Zbl 07358720 J. Math. Anal. Appl. 502, No. 1, Article ID 125246, 36 p. (2021). MSC: 47G10 35R09 PDF BibTeX XML Cite \textit{J. Guzmán} and \textit{A. J. Salgado}, J. Math. Anal. Appl. 502, No. 1, Article ID 125246, 36 p. (2021; Zbl 07358720) Full Text: DOI arXiv OpenURL
Agarwal, Ravi P.; Ding, Shusen; Xing, Yuming Norm inequalities for singular integrals related to operators and Dirac-harmonic equations. (English) Zbl 07245472 Anastassiou, George A. (ed.) et al., Frontiers in functional equations and analytic inequalities. Cham: Springer. 713-729 (2019). MSC: 47-XX 26Dxx PDF BibTeX XML Cite \textit{R. P. Agarwal} et al., in: Frontiers in functional equations and analytic inequalities. Cham: Springer. 713--729 (2019; Zbl 07245472) Full Text: DOI OpenURL
Ding, Shusen; Helliwell, Dylan; Pandya, Gavin; Yae, Arthur Integral norm inequalities for various operators on differential forms. (English) Zbl 1447.26016 Anastassiou, George A. (ed.) et al., Frontiers in functional equations and analytic inequalities. Cham: Springer. 677-693 (2019). MSC: 26D10 58A10 PDF BibTeX XML Cite \textit{S. Ding} et al., in: Frontiers in functional equations and analytic inequalities. Cham: Springer. 677--693 (2019; Zbl 1447.26016) Full Text: DOI OpenURL
Niu, Jinling; Li, Xuexin; Xing, Yuming Boundedness characterization of composite operator with Orlicz-Lipschitz norm and Orlicz-BMO norm. (English) Zbl 07089118 Ann. Funct. Anal. 10, No. 3, 291-307 (2019). MSC: 47A63 47G10 58A15 PDF BibTeX XML Cite \textit{J. Niu} et al., Ann. Funct. Anal. 10, No. 3, 291--307 (2019; Zbl 07089118) Full Text: DOI Euclid OpenURL
Li, Xuexin; Niu, Jinling; Xing, Yuming Estimates for \(L^\varphi \)-Lipschitz and \(L^\varphi \)-BMO norms of differential forms. (English) Zbl 1476.58005 Complex Anal. Oper. Theory 13, No. 4, 1811-1825 (2019). MSC: 58A10 PDF BibTeX XML Cite \textit{X. Li} et al., Complex Anal. Oper. Theory 13, No. 4, 1811--1825 (2019; Zbl 1476.58005) Full Text: DOI OpenURL
Dai, Zhimin; Li, Huacan; Li, Qunfang Inequalities for the fractional convolution operator on differential forms. (English) Zbl 07445892 J. Inequal. Appl. 2018, Paper No. 176, 13 p. (2018). MSC: 00-XX PDF BibTeX XML Cite \textit{Z. Dai} et al., J. Inequal. Appl. 2018, Paper No. 176, 13 p. (2018; Zbl 07445892) Full Text: DOI OpenURL
Niu, Jinling; Xing, Yuming The higher integrability of commutators of Calderón-Zygmund singular integral operators on differential forms. (English) Zbl 1408.42015 J. Funct. Spaces 2018, Article ID 1949747, 9 p. (2018). MSC: 42B35 PDF BibTeX XML Cite \textit{J. Niu} and \textit{Y. Xing}, J. Funct. Spaces 2018, Article ID 1949747, 9 p. (2018; Zbl 1408.42015) Full Text: DOI OpenURL
Kopylov, Ya. A. Orlicz spaces of differential forms on Riemannian manifolds: duality and cohomology. (English) Zbl 1394.58002 Probl. Anal. Issues Anal. 6(24), No. 2, 57-80 (2017). Reviewer: Alexei Yu. Karlovich (Lisboa) MSC: 58A12 46E30 PDF BibTeX XML Cite \textit{Ya. A. Kopylov}, Probl. Anal. Issues Anal. 6(24), No. 2, 57--80 (2017; Zbl 1394.58002) Full Text: DOI OpenURL
Lu, Yueming On weak solutions to Dirac-harmonic equations for differential forms. (English) Zbl 1386.35038 Adv. Appl. Clifford Algebr. 27, No. 4, 3167-3181 (2017). MSC: 35D30 35J47 PDF BibTeX XML Cite \textit{Y. Lu}, Adv. Appl. Clifford Algebr. 27, No. 4, 3167--3181 (2017; Zbl 1386.35038) Full Text: DOI OpenURL
Luque, Teresa; Pérez, Carlos; Rela, Ezequiel Reverse Hölder property for strong weights and general measures. (English) Zbl 1362.42047 J. Geom. Anal. 27, No. 1, 162-182 (2017). MSC: 42B25 43A85 PDF BibTeX XML Cite \textit{T. Luque} et al., J. Geom. Anal. 27, No. 1, 162--182 (2017; Zbl 1362.42047) Full Text: DOI arXiv Link OpenURL
Xing, Yuming; Ding, Shusen Higher integrability of Green’s operator and homotopy operator. (English) Zbl 1375.58002 J. Math. Anal. Appl. 446, No. 1, 648-662 (2017). Reviewer: Ahmed Lesfari (El Jadida) MSC: 58A10 58C35 PDF BibTeX XML Cite \textit{Y. Xing} and \textit{S. Ding}, J. Math. Anal. Appl. 446, No. 1, 648--662 (2017; Zbl 1375.58002) Full Text: DOI OpenURL
Ding, Shusen; Shi, Guannan; Xing, Yuming Higher integrability of iterated operators on differential forms. (English) Zbl 1382.58001 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 145, 83-96 (2016). Reviewer: Marian Ioan Munteanu (Iaşi) MSC: 58A10 46E35 PDF BibTeX XML Cite \textit{S. Ding} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 145, 83--96 (2016; Zbl 1382.58001) Full Text: DOI OpenURL
Niu, Jinling; Ding, Shusen; Xing, Yuming Embedding theorems for composition of homotopy and projection operators. (English) Zbl 1352.46036 J. Inequal. Appl. 2015, Paper No. 375, 14 p. (2015). MSC: 46E35 PDF BibTeX XML Cite \textit{J. Niu} et al., J. Inequal. Appl. 2015, Paper No. 375, 14 p. (2015; Zbl 1352.46036) Full Text: DOI OpenURL
Li, Xuexin; Wang, Yong; Xing, Yuming Lipschitz and BMO norm inequalities for the composition operator on differential forms. (Lipschitz and BMO norm inequalities for the composite operator on differential forms.) (English) Zbl 1351.46026 J. Inequal. Appl. 2015, Paper No. 370, 11 p. (2015). MSC: 46E30 47B33 58A10 PDF BibTeX XML Cite \textit{X. Li} et al., J. Inequal. Appl. 2015, Paper No. 370, 11 p. (2015; Zbl 1351.46026) Full Text: DOI OpenURL
Ding, Shusen; Xing, Yuming Integral estimates for the composition of Green’s and bounded operators. (English) Zbl 1334.31003 Daras, Nicholas J. (ed.) et al., Computation, cryptography, and network security. Cham: Springer (ISBN 978-3-319-18274-2/hbk; 978-3-319-18275-9/ebook). 195-208 (2015). MSC: 31B15 PDF BibTeX XML Cite \textit{S. Ding} and \textit{Y. Xing}, in: Computation, cryptography, and network security. Cham: Springer. 195--208 (2015; Zbl 1334.31003) Full Text: DOI OpenURL
Shi, Guannan; Ding, Shusen; Xing, Yuming \(L^{\varphi}\)-embedding inequalities for some operators on differential forms. (English) Zbl 1347.46029 J. Inequal. Appl. 2015, Paper No. 392, 13 p. (2015). MSC: 46E35 PDF BibTeX XML Cite \textit{G. Shi} et al., J. Inequal. Appl. 2015, Paper No. 392, 13 p. (2015; Zbl 1347.46029) Full Text: DOI OpenURL
Ding, Shusen; Liu, Bing Dirac-harmonic equations for differential forms. (English) Zbl 1325.58011 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 122, 43-57 (2015). Reviewer: Nadine Große (Leipzig) MSC: 58J05 35J60 35B45 30C65 47J05 46E35 58A10 35C99 PDF BibTeX XML Cite \textit{S. Ding} and \textit{B. Liu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 122, 43--57 (2015; Zbl 1325.58011) Full Text: DOI OpenURL
Tong, Yuxia; Gu, Jiantao; Zheng, Shenzhou Zeros for the gradients of weakly \(A\)-harmonic tensors. (English) Zbl 1437.58003 J. Appl. Math. 2014, Article ID 231248, 5 p. (2014). MSC: 58A14 PDF BibTeX XML Cite \textit{Y. Tong} et al., J. Appl. Math. 2014, Article ID 231248, 5 p. (2014; Zbl 1437.58003) Full Text: DOI OpenURL
Fang, Ru Poincaré inequalities for composition operators with \(L^\varphi -\)norm. (English) Zbl 1474.35036 Abstr. Appl. Anal. 2014, Article ID 818201, 6 p. (2014). MSC: 35A23 26D10 31B35 47B33 PDF BibTeX XML Cite \textit{R. Fang}, Abstr. Appl. Anal. 2014, Article ID 818201, 6 p. (2014; Zbl 1474.35036) Full Text: DOI OpenURL
Shi, Guannan; Xing, Yuming; Sun, Baiqing Poincaré-type inequalities for the composite operator in \(L^{\mathcal{A}}\)-averaging domains. (English) Zbl 1479.47038 Abstr. Appl. Anal. 2014, Article ID 675464, 7 p. (2014). MSC: 47G40 58A10 26D10 PDF BibTeX XML Cite \textit{G. Shi} et al., Abstr. Appl. Anal. 2014, Article ID 675464, 7 p. (2014; Zbl 1479.47038) Full Text: DOI OpenURL
Ding, Shusen; Shi, Peilin; Wang, Yong Recent advances in \(L^p\)-theory of homotopy operator on differential forms. (English) Zbl 1472.58001 Abstr. Appl. Anal. 2014, Article ID 596704, 20 p. (2014). MSC: 58A10 46E35 31C12 58-02 PDF BibTeX XML Cite \textit{S. Ding} et al., Abstr. Appl. Anal. 2014, Article ID 596704, 20 p. (2014; Zbl 1472.58001) Full Text: DOI OpenURL
Zahariev, Andrey; Georgieva, Atanaska; Trenkova, Lozanka On Volterra-type integral equations in noncompact metric space. (English) Zbl 1372.35318 J. Inequal. Appl. 2014, Paper No. 260, 17 p. (2014). MSC: 35Q99 35R35 65M12 65M70 PDF BibTeX XML Cite \textit{A. Zahariev} et al., J. Inequal. Appl. 2014, Paper No. 260, 17 p. (2014; Zbl 1372.35318) Full Text: DOI OpenURL
Ding, Shusen; Xing, Yuming Green’s operator and differential forms. (English) Zbl 1329.47045 Milovanović, Gradimir V. (ed.) et al., Analytic number theory, approximation theory, and special functions. In honor of Hari M. Srivastava. New York, NY: Springer (ISBN 978-1-4939-0257-6/hbk; 978-1-4939-0258-3/ebook). 397-427 (2014). MSC: 47F05 31B35 35A08 58A10 46E35 47-02 PDF BibTeX XML Cite \textit{S. Ding} and \textit{Y. Xing}, in: Analytic number theory, approximation theory, and special functions. In honor of Hari M. Srivastava. New York, NY: Springer. 397--427 (2014; Zbl 1329.47045) Full Text: DOI OpenURL
Wen, Haiyu Weighted Hardy-Littlewood theorems for conjugate \(A\)-harmonic tensors. (English) Zbl 1304.42051 Int. J. Theor. Phys. 53, No. 11, 4049-4056 (2014). MSC: 42B25 42B37 58A10 PDF BibTeX XML Cite \textit{H. Wen}, Int. J. Theor. Phys. 53, No. 11, 4049--4056 (2014; Zbl 1304.42051) Full Text: DOI OpenURL
Lu, Yueming; Bao, Gejun The existence of weak solutions to non-homogeneous \(A\)-Dirac equations with Dirichlet boundary data. (English) Zbl 1304.35015 Adv. Appl. Clifford Algebr. 24, No. 1, 151-162 (2014). MSC: 35A01 35A02 35D30 30G35 35J25 35J62 PDF BibTeX XML Cite \textit{Y. Lu} and \textit{G. Bao}, Adv. Appl. Clifford Algebr. 24, No. 1, 151--162 (2014; Zbl 1304.35015) Full Text: DOI OpenURL
Xing, Yuming; Ding, Shusen Advances in study of Poincaré inequalities and related operators. (English) Zbl 1306.46041 J. Funct. Spaces 2014, Article ID 971595, 16 p. (2014). MSC: 46E35 PDF BibTeX XML Cite \textit{Y. Xing} and \textit{S. Ding}, J. Funct. Spaces 2014, Article ID 971595, 16 p. (2014; Zbl 1306.46041) Full Text: DOI OpenURL
Li, Xuexin; Wang, Yong; Xing, Yuming Norm comparison estimates for the composite operator. (English) Zbl 1472.42032 J. Funct. Spaces 2014, Article ID 943986, 7 p. (2014). MSC: 42B25 42B37 35J62 PDF BibTeX XML Cite \textit{X. Li} et al., J. Funct. Spaces 2014, Article ID 943986, 7 p. (2014; Zbl 1472.42032) Full Text: DOI OpenURL
Ding, Shusen; Xing, Yuming Imbedding theorems in Orlicz-Sobolev space of differential forms. (English) Zbl 1305.46027 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 96, 87-95 (2014). MSC: 46E35 PDF BibTeX XML Cite \textit{S. Ding} and \textit{Y. Xing}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 96, 87--95 (2014; Zbl 1305.46027) Full Text: DOI OpenURL
Wang, Tingting; Bao, Gejun Some properties of solutions to a class of Dirichlet boundary value problems. (English) Zbl 1261.35030 Abstr. Appl. Anal. 2012, Article ID 268612, 16 p. (2012). MSC: 35B45 35B30 PDF BibTeX XML Cite \textit{T. Wang} and \textit{G. Bao}, Abstr. Appl. Anal. 2012, Article ID 268612, 16 p. (2012; Zbl 1261.35030) Full Text: DOI OpenURL
Ling, Yi; Gejun, Bao Some local Poincaré inequalities for the composition of the sharp maximal operator and the Green’s operator. (English) Zbl 1238.42006 Comput. Math. Appl. 63, No. 3, 720-727 (2012). MSC: 42B25 PDF BibTeX XML Cite \textit{Y. Ling} and \textit{B. Gejun}, Comput. Math. Appl. 63, No. 3, 720--727 (2012; Zbl 1238.42006) Full Text: DOI OpenURL
Bi, Hui; Ding, Shusen Some strong \((p,q)\)-type inequalities for the homotopy operator. (English) Zbl 1231.26014 Comput. Math. Appl. 62, No. 4, 1780-1789 (2011). MSC: 26D15 58A10 PDF BibTeX XML Cite \textit{H. Bi} and \textit{S. Ding}, Comput. Math. Appl. 62, No. 4, 1780--1789 (2011; Zbl 1231.26014) Full Text: DOI OpenURL
Xing, Yuming Integral inequality for conjugate \(A\)-harmonic tensors in John domains. (English) Zbl 1232.46036 Math. Nachr. 284, No. 14-15, 2003-2010 (2011). MSC: 46E35 58A10 31C45 35J60 PDF BibTeX XML Cite \textit{Y. Xing}, Math. Nachr. 284, No. 14--15, 2003--2010 (2011; Zbl 1232.46036) Full Text: DOI OpenURL
Ding, Shusen; Zhu, Jianmin Poincaré-type inequalities for the homotopy operator with \(L^{\varphi }(\varOmega )\)-norms. (English) Zbl 1234.35009 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 11, 3728-3735 (2011). Reviewer: Kungching Chang (Beijing) MSC: 35A23 35J62 31B05 58A10 46E35 PDF BibTeX XML Cite \textit{S. Ding} and \textit{J. Zhu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 11, 3728--3735 (2011; Zbl 1234.35009) Full Text: DOI OpenURL
Tong, Yuxia; Gu, Jiantao Weighted inequalities for potential operators with Lipschitz and BMO norms. (English) Zbl 1344.31004 Adv. Difference Equ. 2011, Article ID 659597, 11 p. (2011). MSC: 31B15 35J60 42B35 46E35 PDF BibTeX XML Cite \textit{Y. Tong} and \textit{J. Gu}, Adv. Difference Equ. 2011, Article ID 659597, 11 p. (2011; Zbl 1344.31004) Full Text: DOI OpenURL
Bi, Hui; Xing, Yuming Poincaré-type inequalities with \(L^p(\log L)^\alpha\)-norms for Green’s operator. (English) Zbl 1207.58022 Comput. Math. Appl. 60, No. 10, 2764-2770 (2010). MSC: 58J37 PDF BibTeX XML Cite \textit{H. Bi} and \textit{Y. Xing}, Comput. Math. Appl. 60, No. 10, 2764--2770 (2010; Zbl 1207.58022) Full Text: DOI OpenURL
Liu, Bing Some estimates of integrals with a composition operator. (English) Zbl 1198.58001 J. Inequal. Appl. 2010, Article ID 928150, 10 p. (2010). MSC: 58A10 31B05 26D15 58A14 PDF BibTeX XML Cite \textit{B. Liu}, J. Inequal. Appl. 2010, Article ID 928150, 10 p. (2010; Zbl 1198.58001) Full Text: DOI EuDML OpenURL
Agarwal, Ravi P.; Ding, Shusen Global Caccioppoli-type and Poincaré inequalities with Orlicz norms. (English) Zbl 1196.35086 J. Inequal. Appl. 2010, Article ID 727954, 27 p. (2010). MSC: 35J60 35B45 35B65 46N20 PDF BibTeX XML Cite \textit{R. P. Agarwal} and \textit{S. Ding}, J. Inequal. Appl. 2010, Article ID 727954, 27 p. (2010; Zbl 1196.35086) Full Text: DOI EuDML OpenURL
Ling, Yi; Umoh, Hanson M. Global estimates for singular integrals of the composition of the maximal operator and the Green’s operator. (English) Zbl 1201.42014 J. Inequal. Appl. 2010, Article ID 723234, 12 p. (2010). Reviewer: Dian K. Palagachev (Bari) MSC: 42B25 PDF BibTeX XML Cite \textit{Y. Ling} and \textit{H. M. Umoh}, J. Inequal. Appl. 2010, Article ID 723234, 12 p. (2010; Zbl 1201.42014) Full Text: DOI EuDML OpenURL
Zhu, Jianmin; Li, Jun Some priori estimates about solutions to nonhomogeneous \(A\)-harmonic equations. (English) Zbl 1194.35159 J. Inequal. Appl. 2010, Article ID 520240, 12 p. (2010). MSC: 35J60 35B45 58A10 46N20 PDF BibTeX XML Cite \textit{J. Zhu} and \textit{J. Li}, J. Inequal. Appl. 2010, Article ID 520240, 12 p. (2010; Zbl 1194.35159) Full Text: DOI EuDML OpenURL
Shi, Peilin; Ding, Shusen Hardy-Littlewood and Caccioppoli-type inequalities for \(A\)-harmonic tensors. (English) Zbl 1194.26038 J. Inequal. Appl. 2010, Article ID 351597, 14 p. (2010). MSC: 26D15 PDF BibTeX XML Cite \textit{P. Shi} and \textit{S. Ding}, J. Inequal. Appl. 2010, Article ID 351597, 14 p. (2010; Zbl 1194.26038) Full Text: DOI EuDML OpenURL
Bi, Hui Weighted inequalities for potential operators on differential forms. (English) Zbl 1193.47054 J. Inequal. Appl. 2010, Article ID 713625, 13 p. (2010). Reviewer: Mihai Pascu (Bucureşti) MSC: 47G40 42B20 58A10 26D10 PDF BibTeX XML Cite \textit{H. Bi}, J. Inequal. Appl. 2010, Article ID 713625, 13 p. (2010; Zbl 1193.47054) Full Text: DOI EuDML OpenURL
Xing, Yuming Poincaré inequalities with Luxemburg norms in \(L^{\varphi}(m)\)-averaging domains. (English) Zbl 1195.46036 J. Inequal. Appl. 2010, Article ID 241759, 11 p. (2010). MSC: 46E35 26D10 PDF BibTeX XML Cite \textit{Y. Xing}, J. Inequal. Appl. 2010, Article ID 241759, 11 p. (2010; Zbl 1195.46036) Full Text: DOI OpenURL
Ding, Shusen; Liu, Bing Global estimates for singular integrals of the composite operator. (English) Zbl 1205.35089 Ill. J. Math. 53, No. 4, 1173-1185 (2009). MSC: 35J60 35B45 30C65 47J05 46E35 47B33 PDF BibTeX XML Cite \textit{S. Ding} and \textit{B. Liu}, Ill. J. Math. 53, No. 4, 1173--1185 (2009; Zbl 1205.35089) Full Text: Euclid OpenURL
Xing, Yuming; Ding, Shusen Norm comparison inequalities for the composite operator. (English) Zbl 1165.26013 J. Inequal. Appl. 2009, Article ID 212915, 13 p. (2009). Reviewer: Cristinel Mortici (Targoviste) MSC: 26D15 58A10 PDF BibTeX XML Cite \textit{Y. Xing} and \textit{S. Ding}, J. Inequal. Appl. 2009, Article ID 212915, 13 p. (2009; Zbl 1165.26013) Full Text: DOI EuDML OpenURL