Casarino, Valentina; Ciatti, Paolo; Sjögren, Peter Riesz transforms of a general Ornstein-Uhlenbeck semigroup. (English) Zbl 1471.42033 Calc. Var. Partial Differ. Equ. 60, No. 4, Paper No. 135, 32 p. (2021). MSC: 42B20 42B30 47D03 PDF BibTeX XML Cite \textit{V. Casarino} et al., Calc. Var. Partial Differ. Equ. 60, No. 4, Paper No. 135, 32 p. (2021; Zbl 1471.42033) Full Text: DOI arXiv OpenURL
Bañuelos, Rodrigo; Baudoin, Fabrice; Chen, Li Gundy-Varopoulos martingale transforms and their projection operators on manifolds and vector bundles. (English) Zbl 1462.58018 Math. Ann. 378, No. 1-2, 359-388 (2020). Reviewer: Yana Kinderknecht (Saarbrücken) MSC: 58J65 60G46 60H30 60J60 PDF BibTeX XML Cite \textit{R. Bañuelos} et al., Math. Ann. 378, No. 1--2, 359--388 (2020; Zbl 1462.58018) Full Text: DOI arXiv OpenURL
Eskenazis, Alexandros; Ivanisvili, Paata Dimension independent Bernstein-Markov inequalities in Gauss space. (English) Zbl 1478.41001 J. Approx. Theory 253, Article ID 105377, 20 p. (2020). Reviewer: Sergey S. Volosivets (Saratov) MSC: 41A17 28C20 41A63 42C10 PDF BibTeX XML Cite \textit{A. Eskenazis} and \textit{P. Ivanisvili}, J. Approx. Theory 253, Article ID 105377, 20 p. (2020; Zbl 1478.41001) Full Text: DOI arXiv OpenURL
Wang, Zhehui; Yang, Dongyong An equivalent characterization of BMO with Gauss measure. (English) Zbl 1366.42028 Front. Math. China 12, No. 3, 749-768 (2017). MSC: 42B35 42B25 PDF BibTeX XML Cite \textit{Z. Wang} and \textit{D. Yang}, Front. Math. China 12, No. 3, 749--768 (2017; Zbl 1366.42028) Full Text: DOI OpenURL
Naor, Assaf Discrete Riesz transforms and sharp metric \(X_p\) inequalities. (English) Zbl 1364.46021 Ann. Math. (2) 184, No. 3, 991-1016 (2016). Reviewer: Mikhail Ostrovskii (Queens) MSC: 46B85 30L05 46B80 PDF BibTeX XML Cite \textit{A. Naor}, Ann. Math. (2) 184, No. 3, 991--1016 (2016; Zbl 1364.46021) Full Text: DOI arXiv OpenURL
Forzani, Liliana; Sasso, Emanuela; Scotto, Roberto \(L^p \) boundedness of Riesz transforms for orthogonal polynomials in a general context. (English) Zbl 1342.42024 Stud. Math. 231, No. 1, 45-71 (2015). Reviewer: Bujar Fejzullahu (Presevo) MSC: 42C05 42C15 PDF BibTeX XML Cite \textit{L. Forzani} et al., Stud. Math. 231, No. 1, 45--71 (2015; Zbl 1342.42024) Full Text: DOI OpenURL
Cho, Hong Rae; Choe, Boo Rim; Koo, Hyungwoon Fock-Sobolev spaces of fractional order. (English) Zbl 1327.32009 Potential Anal. 43, No. 2, 199-240 (2015). Reviewer: Małgorzata Michalska (Lublin) MSC: 32A37 30H20 32A15 PDF BibTeX XML Cite \textit{H. R. Cho} et al., Potential Anal. 43, No. 2, 199--240 (2015; Zbl 1327.32009) Full Text: DOI arXiv OpenURL
Bañuelos, Rodrigo; Osȩkowski, Adam Sharp martingale inequalities and applications to Riesz transforms on manifolds, Lie groups and Gauss space. (English) Zbl 1341.60029 J. Funct. Anal. 269, No. 6, 1652-1713 (2015). MSC: 60G44 60G46 42B20 42B25 PDF BibTeX XML Cite \textit{R. Bañuelos} and \textit{A. Osȩkowski}, J. Funct. Anal. 269, No. 6, 1652--1713 (2015; Zbl 1341.60029) Full Text: DOI arXiv OpenURL
Junge, Marius; Zeng, Qiang Noncommutative martingale deviation and Poincaré type inequalities with applications. (English) Zbl 1327.46062 Probab. Theory Relat. Fields 161, No. 3-4, 449-507 (2015). MSC: 46L53 60E15 47D06 PDF BibTeX XML Cite \textit{M. Junge} and \textit{Q. Zeng}, Probab. Theory Relat. Fields 161, No. 3--4, 449--507 (2015; Zbl 1327.46062) Full Text: DOI arXiv OpenURL
Cho, Hong Rae; Choe, Boo Rim; Koo, Hyungwoon Linear combinations of composition operators on the Fock-Sobolev spaces. (English) Zbl 1300.47031 Potential Anal. 41, No. 4, 1223-1246 (2014). MSC: 47B33 46E20 32A36 47B10 PDF BibTeX XML Cite \textit{H. R. Cho} et al., Potential Anal. 41, No. 4, 1223--1246 (2014; Zbl 1300.47031) Full Text: DOI OpenURL
Navas, Eduard; Urbina, Wilfredo O. A transference result of the \(L^p\) continuity from Jacobi Riesz transform to the Gaussian and Laguerre Riesz transforms. (English) Zbl 1304.42068 J. Fourier Anal. Appl. 19, No. 5, 910-942 (2013). MSC: 42C10 26A24 PDF BibTeX XML Cite \textit{E. Navas} and \textit{W. O. Urbina}, J. Fourier Anal. Appl. 19, No. 5, 910--942 (2013; Zbl 1304.42068) Full Text: DOI arXiv OpenURL
Mauceri, Giancarlo; Meda, Stefano; Sjögren, Peter A maximal function characterization of the Hardy space for the Gauss measure. (English) Zbl 1266.42054 Proc. Am. Math. Soc. 141, No. 5, 1679-1692 (2013). Reviewer: Yasuo Komori-Furuya (Kanagawa) MSC: 42B30 42B35 42C10 PDF BibTeX XML Cite \textit{G. Mauceri} et al., Proc. Am. Math. Soc. 141, No. 5, 1679--1692 (2013; Zbl 1266.42054) Full Text: DOI arXiv OpenURL
Mauceri, Giancarlo; Meda, Stefano; Sjögren, Peter Endpoint estimates for first-order Riesz transforms associated to the Ornstein-Uhlenbeck operator. (English) Zbl 1238.42005 Rev. Mat. Iberoam. 28, No. 1, 77-91 (2012). Reviewer: Yasuo Komori (Numazu) MSC: 42B20 42B30 42C10 PDF BibTeX XML Cite \textit{G. Mauceri} et al., Rev. Mat. Iberoam. 28, No. 1, 77--91 (2012; Zbl 1238.42005) Full Text: DOI arXiv OpenURL
Junge, M.; Mei, T. BMO spaces associated with semigroups of operators. (English) Zbl 1302.46050 Math. Ann. 352, No. 3, 691-743 (2012). Reviewer: Stanisław Goldstein (Łódź) MSC: 46L52 46L51 42B25 46L10 47D06 PDF BibTeX XML Cite \textit{M. Junge} and \textit{T. Mei}, Math. Ann. 352, No. 3, 691--743 (2012; Zbl 1302.46050) Full Text: DOI arXiv OpenURL
Forzani, L.; Sasso, E.; Scotto, R. Weak-type inequality for conjugate first order Riesz-Laguerre transforms. (English) Zbl 1238.42012 J. Fourier Anal. Appl. 17, No. 5, 854-878 (2011). Reviewer: Vladimir V. Kisil (Leeds) MSC: 42C10 42B20 PDF BibTeX XML Cite \textit{L. Forzani} et al., J. Fourier Anal. Appl. 17, No. 5, 854--878 (2011; Zbl 1238.42012) Full Text: DOI OpenURL
Bañuelos, Rodrigo The foundational inequalities of D. L. Burkholder and some of their ramifications. (English) Zbl 1259.60047 Ill. J. Math. 54, No. 3, 789-868 (2010). MSC: 60G46 42B20 PDF BibTeX XML Cite \textit{R. Bañuelos}, Ill. J. Math. 54, No. 3, 789--868 (2010; Zbl 1259.60047) Full Text: arXiv Euclid OpenURL
Li, Xiang-Dong Riesz transforms on forms and \(L^p\)-Hodge decomposition on complete Riemannian manifolds. (English) Zbl 1197.53052 Rev. Mat. Iberoam. 26, No. 2, 481-528 (2010); erratum ibid. 30, No. 1, 369-370 (2014). Reviewer: Simon Eloshvili (Tbilisi) MSC: 53C21 58J65 58J40 60J65 PDF BibTeX XML Cite \textit{X.-D. Li}, Rev. Mat. Iberoam. 26, No. 2, 481--528 (2010; Zbl 1197.53052) Full Text: DOI Euclid OpenURL
Carbonaro, Andrea; Mauceri, Giancarlo; Meda, Stefano Comparison of spaces of Hardy type for the Ornstein-Uhlenbeck operator. (English) Zbl 1193.42077 Potential Anal. 33, No. 1, 85-105 (2010). Reviewer: Yasuo Komori (Numazu) MSC: 42B20 42B30 58C99 PDF BibTeX XML Cite \textit{A. Carbonaro} et al., Potential Anal. 33, No. 1, 85--105 (2010; Zbl 1193.42077) Full Text: DOI arXiv OpenURL
Maas, Jan; Van Neerven, Jan Boundedness of Riesz transforms for elliptic operators on abstract Wiener spaces. (English) Zbl 1180.47032 J. Funct. Anal. 257, No. 8, 2410-2475 (2009). Reviewer: Heinrich Hering (Rockenberg) MSC: 47D07 60H07 47A60 PDF BibTeX XML Cite \textit{J. Maas} and \textit{J. Van Neerven}, J. Funct. Anal. 257, No. 8, 2410--2475 (2009; Zbl 1180.47032) Full Text: DOI arXiv OpenURL
Mauceri, Giancarlo; Noselli, Luana Riesz transforms for a non-symmetric Ornstein–Uhlenbeck semigroup. (English) Zbl 1163.47039 Semigroup Forum 77, No. 3, 380-398 (2008). Reviewer: Heinrich Hering (Rockenberg) MSC: 47D62 44A15 60B15 60E10 60G15 PDF BibTeX XML Cite \textit{G. Mauceri} and \textit{L. Noselli}, Semigroup Forum 77, No. 3, 380--398 (2008; Zbl 1163.47039) Full Text: DOI OpenURL
Li, Xiang-Dong Martingale transforms and \(L^p\)-norm estimates of Riesz transforms on complete Riemannian manifolds. (English) Zbl 1140.53022 Probab. Theory Relat. Fields 141, No. 1-2, 247-281 (2008); erratum ibid. 159, No. 1-2, 405-408 (2014). MSC: 53C21 58J65 58J40 60J65 PDF BibTeX XML Cite \textit{X.-D. Li}, Probab. Theory Relat. Fields 141, No. 1--2, 247--281 (2008; Zbl 1140.53022) Full Text: DOI OpenURL
Mauceri, Giancarlo; Meda, Stefano BMO and \(H^{1}\) for the Ornstein-Uhlenbeck operator. (English) Zbl 1136.46027 J. Funct. Anal. 252, No. 1, 278-313 (2007). Reviewer: Yang Dachun (Beijing) MSC: 46E30 42B30 42B35 42B20 43A99 PDF BibTeX XML Cite \textit{G. Mauceri} and \textit{S. Meda}, J. Funct. Anal. 252, No. 1, 278--313 (2007; Zbl 1136.46027) Full Text: DOI OpenURL
Aimar, H.; Forzani, L.; Scotto, R. On Riesz transforms and maximal functions in the context of Gaussian harmonic analysis. (English) Zbl 1128.42006 Trans. Am. Math. Soc. 359, No. 5, 2137-2154 (2007). Reviewer: Alexander Meskhi (Lahore) MSC: 42B20 42B25 42C10 47D06 42A50 60H07 PDF BibTeX XML Cite \textit{H. Aimar} et al., Trans. Am. Math. Soc. 359, No. 5, 2137--2154 (2007; Zbl 1128.42006) Full Text: DOI OpenURL
Pérez, Sonsoles The local part and the strong type for operators related to the Gaussian measure. (English) Zbl 1058.42015 J. Geom. Anal. 11, No. 3, 491-507 (2001). Reviewer: Raymond Johnson (College Park) MSC: 42B25 47D03 60J60 42B20 PDF BibTeX XML Cite \textit{S. Pérez}, J. Geom. Anal. 11, No. 3, 491--507 (2001; Zbl 1058.42015) Full Text: DOI OpenURL
García-Cuerva, José; Mauceri, Giancarlo; Sjögren, Peter; Torrea, José Luis Spectral multipliers for the Ornstein-Uhlenbeck semigroup. (English) Zbl 0939.42007 J. Anal. Math. 78, 281-305 (1999). Reviewer: Maria Roginskaya (Göteborg) MSC: 42B15 42B25 42B20 47D03 47A60 PDF BibTeX XML Cite \textit{J. García-Cuerva} et al., J. Anal. Math. 78, 281--305 (1999; Zbl 0939.42007) Full Text: DOI OpenURL
Arcozzi, Nicola Riesz transforms on compact Lie groups, spheres and Gauss space. (English) Zbl 1031.42009 Ark. Mat. 36, No. 2, 201-231 (1998). Reviewer: Kôzô Yabuta (Nishinomiya) MSC: 42B20 44A30 44A15 43A75 PDF BibTeX XML Cite \textit{N. Arcozzi}, Ark. Mat. 36, No. 2, 201--231 (1998; Zbl 1031.42009) Full Text: DOI OpenURL
Sjögren, Peter Operators associated with the Hermite semigroup - a survey. (English) Zbl 0916.42014 J. Fourier Anal. Appl. 3, Spec. Iss., 813-823 (1997). Reviewer: Terence Tao (Los Angeles) MSC: 42B25 35K05 42-02 42B20 PDF BibTeX XML Cite \textit{P. Sjögren}, J. Fourier Anal. Appl. 3, 813--823 (1997; Zbl 0916.42014) Full Text: DOI EuDML OpenURL
Urbina, Wilfredo On singular integrals with respect to the Gaussian measure. (English) Zbl 0737.42018 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 17, No. 4, 531-567 (1990). Reviewer: M. Milman (Boca Raton) MSC: 42B20 60H99 PDF BibTeX XML Cite \textit{W. Urbina}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 17, No. 4, 531--567 (1990; Zbl 0737.42018) Full Text: Numdam EuDML OpenURL