Osękowski, Adam Mixed \(L^p\) estimates for transforms of noncommutative martingales. (English) Zbl 07967602 Bull. Lond. Math. Soc. 57, No. 1, 96-114 (2025). MSC: 46L53 60G42 46L52 × Cite Format Result Cite Review PDF Full Text: DOI
Biswas, Sani; Kumar, Chaman; Neelima; Dos Reis, Gonçalo; Reisinger, Christoph An explicit Milstein-type scheme for interacting particle systems and McKean-Vlasov SDEs with common noise and non-differentiable drift coefficients. (English) Zbl 1545.65027 Ann. Appl. Probab. 34, No. 2, 2326-2363 (2024). MSC: 65C30 60H10 60H35 60K35 65C05 65C35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Li, Yukun; Prachniak, Corey; Zhang, Yi Analysis of a mixed finite element method for stochastic Cahn-Hilliard equation with multiplicative noise. (English) Zbl 07893890 Commun. Comput. Phys. 35, No. 4, 1003-1028 (2024). MSC: 65M60 65M06 65N30 65M12 65M15 60H35 35B35 35R60 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hu, Ye; Cheng, Fang; Hu, Beibei; Sarwar, Shahzad Mathematical analysis of a randomized method for fractional Carathéodory type equation with time-irregular coefficients. (English) Zbl 07885393 ZAMM, Z. Angew. Math. Mech. 104, No. 5, Article ID e202300264, 20 p. (2024). MSC: 65Mxx 65Lxx 65Cxx × Cite Format Result Cite Review PDF Full Text: DOI
Ding, Yong; Grafakos, Loukas; Zhu, Kai Sharp inequalities for linear combinations of orthogonal martingales. (English) Zbl 07866799 Front. Math. (Beijing) 19, No. 3, 419-433 (2024). MSC: 60G44 60G46 42A38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fan, Aihua; Queffélec, Hervé; Queffélec, Martine The Furstenberg set and its random version. (English) Zbl 1548.37009 Enseign. Math. (2) 70, No. 1-2, 61-120 (2024). Reviewer: Thomas B. Ward (Durham) MSC: 37-02 37A44 37A46 37H05 37A50 43A46 60G46 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Libo; Liu, Kaituo; Wang, Yao Martingale Hardy-Orlicz-amalgam spaces. (English) Zbl 07859575 Ann. Funct. Anal. 15, No. 2, Paper No. 37, 21 p. (2024). MSC: 46E30 60G46 60G42 × Cite Format Result Cite Review PDF Full Text: DOI
Li, L.; Wang, Y.; Yang, A. Atomic decompositions of martingale Hardy Lorentz amalgam spaces and applications. (English) Zbl 07857907 Acta Math. Hung. 172, No. 2, 422-444 (2024). Reviewer: Yuliya S. Mishura (Kyïv) MSC: 60G46 60G42 60G44 46E30 × Cite Format Result Cite Review PDF Full Text: DOI
Bakas, Odysseas; Xu, Zhendong; Zhai, Yujia; Zhang, Hao Multiplication between elements in martingale Hardy spaces and their dual spaces. (English) Zbl 07845283 J. Funct. Anal. 287, No. 2, Article ID 110467, 63 p. (2024). MSC: 47A07 60G42 60G46 42B30 46E30 46F10 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Chuanzhou; Wang, Yafei; Zhang, Xueying Operator-valued martingale transform on mixed martingale Hardy spaces. (English) Zbl 07918269 Commun. Anal. Comput. 1, No. 4, 369-378 (2023). MSC: 60G42 42B30 × Cite Format Result Cite Review PDF Full Text: DOI
Arai, Ryutaro Fractional integrals on martingale Orlicz-Morrey spaces. (English) Zbl 1535.60076 Math. J. Ibaraki Univ. 55, 17-29 (2023). MSC: 60G46 46E30 42B35 × Cite Format Result Cite Review PDF Full Text: DOI
Bonami, Aline; Jiao, Yong; Xie, Guangheng; Yang, Dachun; Zhou, Dejian Products and commutators of martingales in \(H_1\) and BMO. (English. French summary) Zbl 1544.60044 J. Math. Pures Appl. (9) 180, 188-229 (2023). MSC: 60G42 60G46 47B47 42B25 42B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Beltran, David; Roos, Joris; Seeger, Andreas Endpoint sparse domination for classes of multiplier transformations. (English) Zbl 1526.42019 Math. Z. 305, No. 1, Paper No. 11, 52 p. (2023). MSC: 42B15 42B20 42B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Demir, Sakin Square function characterizations of real and ergodic \(H^1\) spaces. (English. Russian original) Zbl 07736670 Russ. Math. 67, No. 4, 11-21 (2023); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2023, No. 3, 15-26 (2023). MSC: 28Dxx 42Bxx 60Gxx × Cite Format Result Cite Review PDF Full Text: DOI
Goginava, Ushangi; Nagy, Károly Two-dimensional martingale transforms and their applications in summability of Walsh-Fourier series. (English) Zbl 1517.42027 J. Geom. Anal. 33, No. 8, Paper No. 245, 19 p. (2023). MSC: 42C10 42B08 60G46 60G42 × Cite Format Result Cite Review PDF Full Text: DOI
Gałązka, Tomasz; Osękowski, Adam Sharp estimates for martingale transforms with unbounded transforming sequences. (English) Zbl 1539.60046 Electron. J. Probab. 28, Paper No. 66, 20 p. (2023). Reviewer: Michał Strzelecki (Warszawa) MSC: 60G42 60G44 × Cite Format Result Cite Review PDF Full Text: DOI Link
Champagnat, Nicolas; Villemonais, Denis General criteria for the study of quasi-stationarity. (English) Zbl 1533.60007 Electron. J. Probab. 28, Paper No. 22, 84 p. (2023). Reviewer: Isamu Dôku (Saitama) MSC: 60B10 37A25 60J05 60J10 60J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Aoun, Richard; Mathieu, Pierre; Sert, Cagri Random walks on hyperbolic spaces: second order expansion of the rate function at the drift. (Marches aléatoires sur les espaces hyperboliques: dérivée seconde en la vitesse de fuite de la fonction de taux des grandes déviations.) (English. French summary) Zbl 1534.60054 J. Éc. Polytech., Math. 10, 549-573 (2023). MSC: 60G50 60G42 60F10 60F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Yanyun Maximal commutator of conditional expectations. (English) Zbl 1510.60029 Bull. Malays. Math. Sci. Soc. (2) 46, No. 1, Paper No. 29, 13 p. (2023). MSC: 60G46 60G42 × Cite Format Result Cite Review PDF Full Text: DOI
Di Tillio, A.; Lehrer, E.; Samet, D. Monologues, dialogues, and common priors. (English) Zbl 1531.91077 Theor. Econ. 17, No. 2, 587-615 (2022). MSC: 91B08 × Cite Format Result Cite Review PDF Full Text: DOI
Meyer, Paul-André; Shafer, Glenn Stochastic processes in the decades after 1950. (English) Zbl 1523.60013 Mazliak, Laurent (ed.) et al., The splendors and miseries of martingales. Their history from the casino to mathematics. Cham: Birkhäuser. Trends Hist. Sci., 169-202 (2022). MSC: 60-03 60Gxx 01A60 01A70 × Cite Format Result Cite Review PDF Full Text: DOI
Mirek, Mariusz; Szarek, Tomasz Z.; Wright, James Oscillation inequalities in ergodic theory and analysis: one-parameter and multi-parameter perspectives. (English) Zbl 1512.37003 Rev. Mat. Iberoam. 38, No. 7, 2249-2284 (2022). MSC: 37-02 37A30 37A46 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zalamea, Fernando The dialectics archetypes/types (universal categorical constructions/concrete models) in the work of Alexander Grothendieck. (English) Zbl 1508.00025 Friedman, Michael (ed.) et al., Model and mathematics: from the 19th to the 21st century. Cham: Birkhäuser. Trends Hist. Sci., 267-275 (2022). MSC: 00A71 × Cite Format Result Cite Review PDF Full Text: DOI
Hao, Zhiwei; Li, Libo; Yang, Anming Grand martingale Hardy spaces for \(0<p \leq 1\). (Grand martingale Hardy spaces for \(0<p\leq 10 < p \leq 1\).) (English) Zbl 1504.60069 Ann. Funct. Anal. 13, No. 4, Paper No. 66, 26 p. (2022); correction ibid. 14, No. 1, Paper No. 1, 1 p. (2023). MSC: 60G46 60G42 46E30 × Cite Format Result Cite Review PDF Full Text: DOI
Ouahab, Abdelghani; Belabbas, Mustapha; Henderson, Johnny; Souna, Fethi Existence and transportation inequalities for fractional stochastic differential equations. (English) Zbl 1503.60072 Turk. J. Math. 46, No. 3, 710-727 (2022). MSC: 60H10 60E15 60H15 26A33 34K30 × Cite Format Result Cite Review PDF Full Text: DOI
Fukushima, Ryoki; Junk, Stefan Number of paths in oriented percolation as zero temperature limit of directed polymer. (English) Zbl 1502.60151 Probab. Theory Relat. Fields 183, No. 3-4, 1119-1151 (2022). MSC: 60K35 60K37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Yukun; Wu, Shuonan; Xing, Yulong Finite element approximations of a class of nonlinear stochastic wave equations with multiplicative noise. (English) Zbl 1490.65202 J. Sci. Comput. 91, No. 2, Paper No. 53, 29 p. (2022). MSC: 65M60 35Q60 60H35 65M12 65M15 65M75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ta Cong Son; Le Van Dung Central limit theorems for weighted sums of dependent random vectors in Hilbert spaces via the theory of the regular variation. (English) Zbl 1487.60057 J. Theor. Probab. 35, No. 2, 988-1012 (2022). Reviewer: Anatoliy Swishchuk (Calgary) MSC: 60F05 60G46 62J05 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
Grigoryan, Martin G.; Maranjyan, Artavazd A. On the divergence of Fourier series in the general Haar system. (English) Zbl 1505.42005 Armen. J. Math. 13, Paper No. 6, 10 p. (2021). MSC: 42A20 42C10 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Le; Khoshnevisan, Davar; Nualart, David; Pu, Fei Spatial ergodicity for SPDEs via Poincaré-type inequalities. (English) Zbl 1483.60091 Electron. J. Probab. 26, Paper No. 140, 37 p. (2021). MSC: 60H15 37A25 60H07 60G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dunlap, Alexander; Gu, Yu; Ryzhik, Lenya; Zeitouni, Ofer The random heat equation in dimensions three and higher: the homogenization viewpoint. (English) Zbl 1481.35031 Arch. Ration. Mech. Anal. 242, No. 2, 827-873 (2021). MSC: 35B27 35K05 35K15 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Holmes, Irina; Volberg, Alexander Obstacle problems generated by the estimates of square function. (English) Zbl 1497.42032 Ciatti, Paolo (ed.) et al., Geometric aspects of harmonic analysis. Proceedings of the INdAM meeting, Cortona, Italy, June 25–29, 2018. Cham: Springer. Springer INdAM Ser. 45, 425-453 (2021). Reviewer: Wen Yuan (Beijing) MSC: 42B20 42B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Azouzi, Youssef; Ramdane, Kawtar Burkholder theorem in Riesz spaces. (English) Zbl 1481.60086 Positivity 25, No. 5, 2157-2171 (2021). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 60G48 60B12 46A40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shaiderman, Dimitry An upper bound for the \(\ell_1\)-variation along the road to agreement. (English) Zbl 1478.91023 Int. J. Game Theory 50, No. 4, 1053-1067 (2021). MSC: 91A26 60G42 91A12 × Cite Format Result Cite Review PDF Full Text: DOI
Bansah, Justice Sam Martingale transforms between martingale Hardy-Amalgam spaces. (English) Zbl 1482.60057 Abstr. Appl. Anal. 2021, Article ID 8810220, 8 p. (2021). MSC: 60G42 60G46 46E30 42B30 42B35 × Cite Format Result Cite Review PDF Full Text: DOI
Mekki, Sliman; Blouhi, Tayeb; Nieto, Juan J.; Ouahab, Abdelghani Some existence results for systems of impulsive stochastic differential equations. (English) Zbl 1479.34114 Ann. Math. Sil. 35, No. 2, 260-281 (2021). MSC: 34G20 34F05 34A37 60H10 60J65 47H10 × Cite Format Result Cite Review PDF Full Text: DOI
Osękowski, Adam Sharp Lorentz-norm estimates for differentially subordinate martingales and applications. (English) Zbl 1493.60074 Trans. Am. Math. Soc. 374, No. 10, 7235-7262 (2021). MSC: 60G44 60G42 46E30 × Cite Format Result Cite Review PDF Full Text: DOI
Szarvas, Kristóf; Weisz, Ferenc Mixed martingale Hardy spaces. (English) Zbl 1462.42036 J. Geom. Anal. 31, No. 4, 3863-3888 (2021). MSC: 42B30 60G42 42B35 42B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bose, Arup; Bhattacharjee, Madhuchhanda Kernel density estimates in a non-standard situation. (English) Zbl 1458.62087 J. Stat. Theory Pract. 15, No. 1, Paper No. 22, 19 p. (2021). MSC: 62G07 62E20 60E15 60B20 15B52 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Jingyu; Khoshnevisan, Davar Analysis of a stratified Kraichnan flow. (English) Zbl 1462.60087 Electron. J. Probab. 25, Paper No. 122, 67 p. (2020). MSC: 60H15 28A80 35R60 60K37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Ho, Kwok-Pun Martingale transforms and fractional integrals on rearrangement-invariant martingale Hardy spaces. (English) Zbl 1474.60115 Period. Math. Hung. 81, No. 2, 159-173 (2020). MSC: 60G42 60G46 46E30 42B20 × Cite Format Result Cite Review PDF Full Text: DOI
Oulghazi, H.; Ezzaki, F. Strong law of large numbers for adapted sequences and application to multivalued supermartingale. (English) Zbl 1453.60078 Lobachevskii J. Math. 41, No. 3, 407-415 (2020). MSC: 60F15 60G42 × Cite Format Result Cite Review PDF Full Text: DOI
Kovač, Vjekoslav; Stipčić, Mario Convergence of ergodic-martingale paraproducts. (English) Zbl 1460.60030 Stat. Probab. Lett. 164, Article ID 108826, 5 p. (2020). MSC: 60G42 37A30 42B20 60G46 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Akboudj, Meryem; Jiao, Yong; Osękowski, Adam Weak-\( L^\infty\) inequality for non-symmetric martingale transforms and Haar system. (English) Zbl 1460.60028 Stat. Probab. Lett. 163, Article ID 108778, 6 p. (2020). MSC: 60G42 60G44 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Pingyan; Sung, Soo Hak Rosenthal type inequalities for random variables. (English) Zbl 1446.60015 J. Math. Inequal. 14, No. 2, 305-318 (2020). MSC: 60E15 × Cite Format Result Cite Review PDF Full Text: DOI
Wendler, Martin; Wu, Wei Biao Central limit theorems for nearly long range dependent subordinated linear processes. (English) Zbl 1446.60023 J. Appl. Probab. 57, No. 2, 637-656 (2020). Reviewer: Fraser Daly (Edinburgh) MSC: 60F05 60G10 62E20 62M10 × Cite Format Result Cite Review PDF Full Text: DOI
Arai, Ryutaro; Nakai, Eiichi; Sadasue, Gaku Fractional integrals and their commutators on martingale Orlicz spaces. (English) Zbl 1448.60094 J. Math. Anal. Appl. 487, No. 2, Article ID 123991, 35 p. (2020). Reviewer: Ferenc Weisz (Budapest) MSC: 60G42 42B35 42A38 46E30 × Cite Format Result Cite Review PDF Full Text: DOI
Jiao, Yong; Randrianantoanina, Narcisse; Wu, Lian; Zhou, Dejian Square functions for noncommutative differentially subordinate martingales. (English) Zbl 1456.46052 Commun. Math. Phys. 374, No. 2, 975-1019 (2020). MSC: 46L53 60G42 60G46 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jiao, Yong; Zhao, Tiantian; Zhou, Dejian Variable martingale Hardy-Morrey spaces. (English) Zbl 1431.42043 J. Math. Anal. Appl. 484, No. 1, Article ID 123722, 26 p. (2020). MSC: 42B35 42B25 60G46 46E30 × Cite Format Result Cite Review PDF Full Text: DOI
Hao, Zhiwei; Li, Libo Orlicz-Lorentz Hardy martingale spaces. (English) Zbl 1462.60055 J. Math. Anal. Appl. 482, No. 1, Article ID 123520, 27 p. (2020). MSC: 60G46 60G42 46E30 × Cite Format Result Cite Review PDF Full Text: DOI
Pereyra, María Cristina Dyadic harmonic analysis and weighted inequalities: the sparse revolution. (English) Zbl 1473.42019 Aldroubi, Akram (ed.) et al., New trends in applied harmonic analysis. Volume 2. Harmonic analysis, geometric measure theory, and applications. Collected papers based on courses given at the 2017 CIMPA school, Buenos Aires, Argentina, July 31 – August 11, 2017. Cham: Birkhäuser. Appl. Numer. Harmon. Anal., 159-239 (2019). MSC: 42B20 42B25 42B10 46E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yaroslavtsev, Ivan S. On the martingale decompositions of Gundy, Meyer, and Yoeurp in infinite dimensions. (English. French summary) Zbl 1456.60100 Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 4, 1988-2018 (2019). Reviewer: Ferenc Weisz (Budapest) MSC: 60G44 60G07 60G57 60H99 46N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Kikuchi, Masato On martingale transform inequalities in certain quasi-Banach function spaces. (English) Zbl 1461.60026 Boll. Unione Mat. Ital. 12, No. 3, 485-514 (2019). MSC: 60G46 × Cite Format Result Cite Review PDF Full Text: DOI
Brzozowski, Michał; Osękowski, Adam Sharp weighted weak type \((\infty, \infty)\) inequality for differentially subordinate martingales. (English) Zbl 1422.60069 Stat. Probab. Lett. 155, Article ID 108561, 9 p. (2019). MSC: 60G44 × Cite Format Result Cite Review PDF Full Text: DOI
Kovač, Vjekoslav; Zorin-Kranich, Pavel Variational estimates for martingale paraproducts. (English) Zbl 1422.60068 Electron. Commun. Probab. 24, Paper No. 48, 14 p. (2019). MSC: 60G42 60G44 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Giles, Michael B.; Haji-Ali, Abdul-Lateef Multilevel nested simulation for efficient risk estimation. (English) Zbl 1457.91416 SIAM/ASA J. Uncertain. Quantif. 7, 497-525 (2019). Reviewer: Nikolay Kyurkchiev (Plovdiv) MSC: 91G60 65C05 91G70 91G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Domelevo, K.; Ivanisvili, P.; Petermichl, S.; Treil, S.; Volberg, A. On the failure of lower square function estimates in the non-homogeneous weighted setting. (English) Zbl 1428.42028 Math. Ann. 374, No. 3-4, 1923-1952 (2019). Reviewer: George O. Okikiolu (London) MSC: 42B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Szarvas, Kristóf; Weisz, Ferenc Boundedness of Cesàro and Riesz means in variable dyadic Hardy spaces. (English) Zbl 1418.42037 Banach J. Math. Anal. 13, No. 3, 675-696 (2019). MSC: 42B30 42C10 60G42 60G46 46E30 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Yu, Lin; He, Min Interchange between Hardy-Lorentz spaces of predictable martingales. (English) Zbl 1478.60135 J. Math. Anal. Appl. 472, No. 1, 1277-1291 (2019). MSC: 60G42 60G46 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Ting; Plecháč, Petr Steady-state sensitivity analysis of continuous time Markov chains. (English) Zbl 1415.65012 SIAM J. Numer. Anal. 57, No. 1, 192-217 (2019). MSC: 65C05 65C40 60J27 60H35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kovač, Vjekoslav; Škreb, Kristina Ana Bellman functions and \(L^p\) estimates for paraproducts. (English) Zbl 1411.60065 Probab. Math. Stat. 38, No. 2, 459-479 (2018). MSC: 60G46 42B15 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Ehm, Werner; Krüger, Fabian Forecast dominance testing via sign randomization. (English) Zbl 1406.62102 Electron. J. Stat. 12, No. 2, 3758-3793 (2018). MSC: 62M20 62G09 62G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Kikuchi, Masato Martingales and function spaces. (English. Japanese original) Zbl 1409.60068 Sugaku Expo. 31, No. 2, 117-142 (2018); translation from Sūgaku 66, No. 3, 249-274 (2014). MSC: 60G42 46E30 60G46 × Cite Format Result Cite Review PDF Full Text: DOI
Osękowski, Adam Square function inequalities for monotone bases in \(L^{1}\). (English) Zbl 1412.46024 Banach J. Math. Anal. 12, No. 3, 693-708 (2018). Reviewer: Vladimir Kadets (Kharkiv) MSC: 46B15 46B25 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Jiao, Yong; Quan, Xingyan; Wu, Lian Burkholder’s inequalities associated with Orlicz functions in rearrangement invariant spaces. (English) Zbl 1434.60124 Math. Z. 289, No. 3-4, 943-960 (2018). Reviewer: Heinrich Hering (Rockenberg) MSC: 60G42 60G46 46E30 × Cite Format Result Cite Review PDF Full Text: DOI
Steger, Tim; Trojan, Bartosz Littlewood-Paley theory for triangle buildings. (English) Zbl 1396.22006 J. Geom. Anal. 28, No. 2, 1122-1150 (2018). Reviewer: Ferenc Weisz (Budapest) MSC: 22E35 60G42 51E24 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deleaval, Luc; Guédon, Olivier; Maurey, Bernard Dimension free bounds for the Hardy-Littlewood maximal operator associated to convex sets. (English. French summary) Zbl 1395.42044 Ann. Fac. Sci. Toulouse, Math. (6) 27, No. 1, 1-198 (2018). Reviewer: Michael Perelmuter (Kyïv) MSC: 42B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
He, Min; Yu, Lin Martingale transforms between Hardy-Lorentz spaces. (English) Zbl 1398.60065 Stat. Probab. Lett. 137, 46-53 (2018). MSC: 60G42 60G48 46E30 × Cite Format Result Cite Review PDF Full Text: DOI
Ho, Kwok-Pun Doob’s inequality, Burkholder-Gundy inequality and martingale transforms on martingale Morrey spaces. (English) Zbl 1399.46038 Acta Math. Sci., Ser. B, Engl. Ed. 38, No. 1, 93-109 (2018). MSC: 46E30 42B20 60G42 60G46 × Cite Format Result Cite Review PDF Full Text: DOI
Krause, Ben; Mirek, Mariusz; Trojan, Bartosz Two-parameter version of Bourgain’s inequality: rational frequencies. (English) Zbl 1456.42022 Adv. Math. 323, 720-744 (2018). MSC: 42B25 42B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Kruse, Raphael; Wu, Yue Error analysis of randomized Runge-Kutta methods for differential equations with time-irregular coefficients. (English) Zbl 1380.65016 Comput. Methods Appl. Math. 17, No. 3, 479-498 (2017). MSC: 65C30 60H10 60H35 34F05 65L70 65L06 65L20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Azouzi, Youssef; Ramdane, Kawtar Burkholder inequalities in Riesz spaces. (English) Zbl 1386.60156 Indag. Math., New Ser. 28, No. 5, 1076-1094 (2017). Reviewer: Alexander Iksanov (Kiev) MSC: 60G42 60E15 60G46 × Cite Format Result Cite Review PDF Full Text: DOI
Osipov, N. N. Littlewood-Paley-Rubio de Francia inequality for the Walsh system. (English) Zbl 1371.42036 St. Petersbg. Math. J. 28, No. 5, 719-726 (2017) and Algebra Anal. 28, No. 5, 236-246 (2017). MSC: 42C10 42B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lacey, Michael T. An elementary proof of the \(A_{2}\) bound. (English) Zbl 1368.42016 Isr. J. Math. 217, 181-195 (2017). Reviewer: Yasuo Komori-Furuya (Kanagawa) MSC: 42B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vuorinen, Emil Two-weight \(L^{p}\)-inequalities for dyadic shifts and the dyadic square function. (English) Zbl 1376.42019 Stud. Math. 237, No. 1, 25-56 (2017). MSC: 42B20 42B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Osȩkowski, Adam Weighted inequalities for the martingale square and maximal functions. (English) Zbl 1352.60063 Stat. Probab. Lett. 120, 95-100 (2017). MSC: 60G44 60G46 42B25 60G42 × Cite Format Result Cite Review PDF Full Text: DOI
Kikuchi, Masato On Doob’s inequality and Burkholder’s inequality in weak spaces. (English) Zbl 1347.60048 Collect. Math. 67, No. 3, 461-483 (2016). MSC: 60G42 46E30 × Cite Format Result Cite Review PDF Full Text: DOI
Hughes, Kevin; Krause, Ben; Trojan, Bartosz The maximal function and conditional square function control the variation: an elementary proof. (English) Zbl 1348.42016 Proc. Am. Math. Soc. 144, No. 8, 3583-3588 (2016). Reviewer: Santiago Boza (Vilanova i la Geltrú) MSC: 42B25 60G42 60E15 47B38 46N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Astashkin, S. V. Martingale transforms of the Rademacher sequence in rearrangement invariant spaces. (English. Russian original) Zbl 1353.46021 St. Petersbg. Math. J. 27, No. 2, 191-206 (2016); translation from Algebra Anal. 27, No. 2, 20-41 (2015). MSC: 46E30 46B15 46B09 × Cite Format Result Cite Review PDF Full Text: DOI
Hao, Zhiwei; Jiao, Yong Fractional integral on martingale Hardy spaces with variable exponents. (English) Zbl 1341.42027 Fract. Calc. Appl. Anal. 18, No. 5, 1128-1145 (2015); corrigendum ibid. 20, No. 4, 1051-1052 (2017). MSC: 42B20 42B30 42B35 60G42 60G46 × Cite Format Result Cite Review PDF Full Text: DOI
Georgiou, Nicos; Joseph, Mathew; Khoshnevisan, Davar; Shiu, Shang-Yuan Semi-discrete semi-linear parabolic SPDEs. (English) Zbl 1325.60108 Ann. Appl. Probab. 25, No. 5, 2959-3006 (2015). MSC: 60H15 60J60 60K35 60K37 60H25 47B80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Beiglböck, Mathias; Siorpaes, Pietro Pathwise versions of the Burkholder-Davis-Gundy inequality. (English) Zbl 1352.60060 Bernoulli 21, No. 1, 360-373 (2015). Reviewer: Fraser Daly (Edinburgh) MSC: 60G42 60E15 60G46 91G20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Kovač, Vjekoslav; Škreb, Kristina Ana One modification of the martingale transform and its applications to paraproducts and stochastic integrals. (English) Zbl 1329.60111 J. Math. Anal. Appl. 426, No. 2, 1143-1163 (2015). MSC: 60G44 60H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Perlmutter, Michael On a class of Calderón-Zygmund operators arising from projections of martingale transforms. (English) Zbl 1322.42020 Potential Anal. 42, No. 2, 383-401 (2015). Reviewer: Haibo Lin (Beijing) MSC: 42B20 60G46 60G52 60H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yu, Lin; Zhuang, Dan Martingale transforms between Orlicz-Hardy spaces of predictable martingales. (English) Zbl 1321.42042 J. Math. Anal. Appl. 413, No. 2, 890-904 (2014). MSC: 42B35 42B30 60G42 × Cite Format Result Cite Review PDF Full Text: DOI
Osȩkowski, Adam Sharp weak-type inequality for the Haar system, harmonic functions and martingales. (English) Zbl 1303.60034 Bull. Pol. Acad. Sci., Math. 62, No. 2, 187-196 (2014). MSC: 60G42 60G44 31B05 46E30 × Cite Format Result Cite Review PDF Full Text: DOI Link
Osȩkowski, Adam Sharp \(L^2 \log L\) inequalities for the Haar system and martingale transforms. (English) Zbl 1343.60048 Stat. Probab. Lett. 94, 91-97 (2014). MSC: 60G42 42B25 26D15 46E30 × Cite Format Result Cite Review PDF Full Text: DOI
Denker, Manfred; Gordin, Mikhail Limit theorems for von Mises statistics of a measure preserving transformation. (English) Zbl 1306.60007 Probab. Theory Relat. Fields 160, No. 1-2, 1-45 (2014). Reviewer: Winfried Stute (Gießen) MSC: 60F05 60F15 28D05 62E20 60G10 60A10 60B10 28A35 28A33 37A30 62G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
López-Sánchez, Luis Daniel; Martell, José María; Parcet, Javier Dyadic harmonic analysis beyond doubling measures. (English) Zbl 1304.42041 Adv. Math. 267, 44-93 (2014). MSC: 42B20 42B10 42B25 42C40 42C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yu, Lin; Yin, Huan Martingale transforms and weak Orlicz-Hardy spaces of predictable martingales. (English) Zbl 1296.60104 Stat. Probab. Lett. 89, 89-98 (2014). MSC: 60G42 60G48 46E30 × Cite Format Result Cite Review PDF Full Text: DOI
Ferger, Dietmar Optimal constants in the Marcinkiewicz-Zygmund inequalities. (English) Zbl 1300.60034 Stat. Probab. Lett. 84, 96-101 (2014). MSC: 60E15 × Cite Format Result Cite Review PDF Full Text: DOI
Conus, Daniel; Joseph, Mathew; Khoshnevisan, Davar; Shiu, Shang-Yuan Initial measures for the stochastic heat equation. (English. French summary) Zbl 1288.60077 Ann. Inst. Henri Poincaré, Probab. Stat. 50, No. 1, 136-153 (2014). MSC: 60H15 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Peligrad, Magda; Sang, Hailin Central limit theorem for linear processes with infinite variance. (English) Zbl 1296.60062 J. Theor. Probab. 26, No. 1, 222-239 (2013). MSC: 60F05 60G10 60G42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nakai, Eiichi; Sadasue, Gaku; Sawano, Yoshihiro Martingale Morrey-Hardy and Campanato-Hardy spaces. (English) Zbl 1298.46030 J. Funct. Spaces Appl. 2013, Article ID 690258, 14 p. (2013). MSC: 46E30 60G46 × Cite Format Result Cite Review PDF Full Text: DOI
Osȩkowski, Adam Sharp inequalities for the Haar system and Fourier multipliers. (English) Zbl 1296.46028 J. Funct. Spaces Appl. 2013, Article ID 646012, 14 p. (2013). MSC: 46E30 46B15 42B20 42B25 × Cite Format Result Cite Review PDF Full Text: DOI
Osȩkowski, Adam Survey article: Bellman function method and sharp inequalities for martingales. (English) Zbl 1286.60039 Rocky Mt. J. Math. 43, No. 6, 1759-1823 (2013). MSC: 60G42 42A05 60G46 49K20 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Rabier, Patrick J. Fourier decomposition of properly elliptic boundary value problems in a half-plane. (English) Zbl 1281.35021 Ann. Mat. Pura Appl. (4) 192, No. 6, 1115-1140 (2013). MSC: 35J25 35B10 42A45 43A50 × Cite Format Result Cite Review PDF Full Text: DOI
Alsmeyer, Gerold The smoothing transform: a review of contraction results. (English) Zbl 1283.60109 Alsmeyer, Gerold (ed.) et al., Random matrices and iterated random functions. Selected papers based on the presentations at the workshop, Münster, Germany, October 4–7, 2011. Berlin: Springer (ISBN 978-3-642-38805-7/hbk; 978-3-642-38806-4/ebook). Springer Proceedings in Mathematics & Statistics 53, 189-228 (2013). Reviewer: Aleksander Iksanov (Kiev) MSC: 60J80 47H10 × Cite Format Result Cite Review PDF Full Text: DOI