Astashkin, Sergey; Huang, Jinghao; Pliev, Marat; Sukochev, Fedor; Zanin, Dmitriy Optimal range of Haar martingale transforms and its applications. (English) Zbl 07805872 Int. Math. Res. Not. 2023, No. 24, 20827-20854 (2023). MSC: 60-XX 46-XX PDFBibTeX XMLCite \textit{S. Astashkin} et al., Int. Math. Res. Not. 2023, No. 24, 20827--20854 (2023; Zbl 07805872) Full Text: DOI arXiv
Jiao, Yong; Sukochev, Fedor; Wu, Lian; Zanin, Dmitriy Distributional inequalities for noncommutative martingales. (English) Zbl 1515.46038 J. Funct. Anal. 284, No. 5, Article ID 109798, 55 p. (2023). MSC: 46L53 60G42 60G50 46L52 PDFBibTeX XMLCite \textit{Y. Jiao} et al., J. Funct. Anal. 284, No. 5, Article ID 109798, 55 p. (2023; Zbl 1515.46038) Full Text: DOI arXiv
Huang, Jinghao; Sukochev, Fedor; Zanin, Dmitriy Optimal estimates for martingale transforms. (English) Zbl 1502.60056 J. Funct. Anal. 282, No. 11, Article ID 109451, 42 p. (2022). MSC: 60G46 46L53 44A15 PDFBibTeX XMLCite \textit{J. Huang} et al., J. Funct. Anal. 282, No. 11, Article ID 109451, 42 p. (2022; Zbl 1502.60056) Full Text: DOI
Jiao, Yong; Sukochev, Fedor; Zhou, Dejian Maximal inequalities of noncommutative martingale transforms. (English) Zbl 1467.46062 Can. J. Math. 73, No. 1, 221-248 (2021). Reviewer: Ghadir Sadeghi (Sabzevār) MSC: 46L53 46L52 60G42 60G46 42B25 PDFBibTeX XMLCite \textit{Y. Jiao} et al., Can. J. Math. 73, No. 1, 221--248 (2021; Zbl 1467.46062) Full Text: DOI
Junge, Marius; Scheckter, Thomas Tzvi; Sukochev, Fedor A noncommutative generalisation of a problem of Steinhaus. (English) Zbl 1466.46051 J. Funct. Anal. 280, No. 2, Article ID 108782, 51 p. (2021). Reviewer: Safoura Zadeh (Bonn) MSC: 46L51 46L52 40A05 60F15 PDFBibTeX XMLCite \textit{M. Junge} et al., J. Funct. Anal. 280, No. 2, Article ID 108782, 51 p. (2021; Zbl 1466.46051) Full Text: DOI
Jiao, Yong; Sukochev, Fedor; Xie, Guangheng; Zanin, Dmitriy Rosenthal’s inequalities: \({\Delta }\)-norms and quasi-Banach symmetric sequence spaces. (English) Zbl 1457.46039 Stud. Math. 255, No. 1, 55-81 (2020). MSC: 46E30 60G50 46B09 PDFBibTeX XMLCite \textit{Y. Jiao} et al., Stud. Math. 255, No. 1, 55--81 (2020; Zbl 1457.46039) Full Text: DOI arXiv
Jiao, Yong; Sukochev, Fedor; Zanin, Dmitriy Sums of independent and freely independent identically distributed random variables. (English) Zbl 1471.60009 Stud. Math. 251, No. 3, 289-315 (2020). MSC: 60B11 46L52 46L53 47A30 60G42 PDFBibTeX XMLCite \textit{Y. Jiao} et al., Stud. Math. 251, No. 3, 289--315 (2020; Zbl 1471.60009) Full Text: DOI
Levitina, Galina; Sukochev, Fedor; Vella, Dominic; Zanin, Dmitriy Schatten class estimates for the Riesz map of massless Dirac operators. (English) Zbl 1392.35248 Integral Equations Oper. Theory 90, No. 2, Paper No. 19, 36 p. (2018). MSC: 35Q41 47B10 60H05 31A10 PDFBibTeX XMLCite \textit{G. Levitina} et al., Integral Equations Oper. Theory 90, No. 2, Paper No. 19, 36 p. (2018; Zbl 1392.35248) Full Text: DOI
Jiao, Yong; Sukochev, Fedor; Zanin, Dmitriy; Zhou, Dejian Johnson-Schechtman inequalities for noncommutative martingales. (English) Zbl 1368.46054 J. Funct. Anal. 272, No. 3, 976-1016 (2017). Reviewer: Ghadir Sadeghi (Sabzevār) MSC: 46L52 46L53 47A30 60G42 PDFBibTeX XMLCite \textit{Y. Jiao} et al., J. Funct. Anal. 272, No. 3, 976--1016 (2017; Zbl 1368.46054) Full Text: DOI arXiv
Jiao, Yong; Sukochev, Fedor; Zanin, Dmitriy Johnson-Schechtman and Khintchine inequalities in noncommutative probability theory. (English) Zbl 1375.46046 J. Lond. Math. Soc., II. Ser. 94, No. 1, 113-140 (2016). Reviewer: Stanisław Goldstein (Łódź) MSC: 46L52 46L53 47A30 60G50 PDFBibTeX XMLCite \textit{Y. Jiao} et al., J. Lond. Math. Soc., II. Ser. 94, No. 1, 113--140 (2016; Zbl 1375.46046) Full Text: DOI arXiv
Jiao, Yong; Sukochev, Fedor; Xie, Guangheng; Zanin, Dmitriy \(\Phi\)-moment inequalities for independent and freely independent random variables. (English) Zbl 1356.46052 J. Funct. Anal. 270, No. 12, 4558-4596 (2016). MSC: 46L52 46L53 47A30 60G42 46L54 PDFBibTeX XMLCite \textit{Y. Jiao} et al., J. Funct. Anal. 270, No. 12, 4558--4596 (2016; Zbl 1356.46052) Full Text: DOI arXiv
Astashkin, S. V.; Sukochev, F. A. Orlicz sequence spaces spanned by identically distributed independent random variables in \(L_p\)-spaces. (English) Zbl 1325.46031 J. Math. Anal. Appl. 413, No. 1, 1-19 (2014). MSC: 46E30 46B45 60E05 46B70 PDFBibTeX XMLCite \textit{S. V. Astashkin} and \textit{F. A. Sukochev}, J. Math. Anal. Appl. 413, No. 1, 1--19 (2014; Zbl 1325.46031) Full Text: DOI
Astashkin, Sergey; Sukochev, Fedor A.; Zanin, Dmitriy Disjointification inequalities in symmetric quasi-Banach spaces and their applications. (English) Zbl 1318.46014 Pac. J. Math. 270, No. 2, 257-285 (2014). MSC: 46E30 60G50 46B09 PDFBibTeX XMLCite \textit{S. Astashkin} et al., Pac. J. Math. 270, No. 2, 257--285 (2014; Zbl 1318.46014) Full Text: DOI
Astashkin, S. V.; Sukochev, F. A. Symmetric quasi-norms of sums of independent random variables in symmetric function spaces with the Kruglov property. (English) Zbl 1253.60058 Isr. J. Math. 184, 455-476 (2011). MSC: 60G50 46E15 46B45 PDFBibTeX XMLCite \textit{S. V. Astashkin} and \textit{F. A. Sukochev}, Isr. J. Math. 184, 455--476 (2011; Zbl 1253.60058) Full Text: DOI
Astashkin, S. V.; Sukochev, F. A. Independent functions and the geometry of Banach spaces. (English. Russian original) Zbl 1219.46025 Russ. Math. Surv. 65, No. 6, 1003-1081 (2010). Reviewer: Carsten Michels (Oldenburg) MSC: 46E30 46-02 46B09 46B20 60B11 46B70 PDFBibTeX XMLCite \textit{S. V. Astashkin} and \textit{F. A. Sukochev}, Russ. Math. Surv. 65, No. 6, 1003--1081 (2010; Zbl 1219.46025) Full Text: DOI
Astashkin, S. V.; Sukochev, F. A. Best constants in Rosenthal-type inequalities and the Kruglov operator. (English) Zbl 1211.46008 Ann. Probab. 38, No. 5, 1986-2008 (2010). Reviewer: Anatolij M. Plichko (Krakow) MSC: 46B09 60G50 46E30 PDFBibTeX XMLCite \textit{S. V. Astashkin} and \textit{F. A. Sukochev}, Ann. Probab. 38, No. 5, 1986--2008 (2010; Zbl 1211.46008) Full Text: DOI arXiv
Astashkin, S. V.; Zanin, D. V.; Semenov, E. M.; Sukochev, F. A. Kruglov operator and operators defined by random permutations. (English. Russian original) Zbl 1271.47021 Funct. Anal. Appl. 43, No. 2, 83-95 (2009); translation from Funkts. Anal. Prilozh. 43, No. 2, 3-18 (2009). MSC: 47B38 46E30 60B11 PDFBibTeX XMLCite \textit{S. V. Astashkin} et al., Funct. Anal. Appl. 43, No. 2, 83--95 (2009; Zbl 1271.47021); translation from Funkts. Anal. Prilozh. 43, No. 2, 3--18 (2009) Full Text: DOI arXiv
Astashkin, S. V.; Sukochev, F. A. Sequences of independent identically distributed functions in rearrangement invariant spaces. (English) Zbl 1144.46025 Hudzik, Henryk (ed.) et al., Function spaces VIII. Proceedings of the 8th conference on function spaces, Bȩdlewo, Poland, July 3–7, 2006. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 79, 27-37 (2008). MSC: 46E30 60G50 PDFBibTeX XMLCite \textit{S. V. Astashkin} and \textit{F. A. Sukochev}, Banach Cent. Publ. 79, 27--37 (2008; Zbl 1144.46025) Full Text: Link
Astashkin, S. V.; Sukochev, F. A. Comparison of sums of independent and disjoint functions in symmetric spaces. (English. Russian original) Zbl 1076.46020 Math. Notes 76, No. 4, 449-454 (2004); translation from Mat. Zametki 76, No. 4, 483-489 (2004). MSC: 46E30 46B09 46N30 60G50 PDFBibTeX XMLCite \textit{S. V. Astashkin} and \textit{F. A. Sukochev}, Math. Notes 76, No. 4, 449--454 (2004; Zbl 1076.46020); translation from Mat. Zametki 76, No. 4, 483--489 (2004) Full Text: DOI
Sukochev, F. A.; Ferleger, S. V. Harmonic analysis in symmetric spaces of measurable operators. (English. Russian original) Zbl 0866.43004 Russ. Acad. Sci., Dokl., Math. 50, No. 3, 432-437 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 339, No. 3, 307-310 (1994). Reviewer: Daniel Li (Orsay) MSC: 43A85 43A15 43A65 46B09 46B15 60G42 PDFBibTeX XMLCite \textit{F. A. Sukochev} and \textit{S. V. Ferleger}, Russ. Acad. Sci., Dokl., Math. 50, No. 3, 1 (1994; Zbl 0866.43004); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 339, No. 3, 307--310 (1994)