Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/de-gruyter/weak-martingale-hardy-type-spaces-associated-with-quasi-banach-r5gcYSYIF5
References (39)
-
K. Ho (2011)
Littlewood-Paley spacesMathematica Scandinavica, 108
-
M. Kikuchi (2012)
On some Banach spaces of martingales associated with function spacesForum Mathematicum, 24
-
Y. Sawano, K. Ho, Dachun Yang, Sibei Yang (2017)
Hardy spaces for ball quasi-Banach function spacesDissertationes Mathematicae, 525
-
Y. Jiao, F. Weisz, Dejian Zhou, Lian Wu (1994)
Variable martingale Hardy spaces and their applications in Fourier analysisDissertationes Mathematicae
-
K. Ho (2021)
A Generalization of Boyd’s Interpolation TheoremActa Mathematica Scientia, 41
-
E. Nakai, Gaku Sadasue (2017)
Some new properties concerning BLO martingalesTohoku Mathematical Journal, 69
-
K.-P. Ho (2016)
Atomic decompositions of martingale hardy–morrey spacesActa Mathematica Hungarica, 149
-
Z. Hao, L. Li (2017)
Grand Martingale Hardy spacesActa Mathematica Hungarica, 153
-
Y. Jiao, X. Quan, Lian Wu (2018)
Burkholder’s inequalities associated with Orlicz functions in rearrangement invariant spacesMathematische Zeitschrift, 289
-
E. Nakai, Gaku Sadasue, Y. Sawano (2013)
Martingale Morrey-Hardy and Campanato-Hardy SpacesJournal of Function Spaces and Applications, 2013
-
R. Fefferman, F. Soria (1987)
The space Weak HStudia Mathematica, 85
-
Guangheng Xie, Dachun Yang (2018)
Atomic characterizations of weak martingale Musielak–Orlicz Hardy spaces and their applicationsBanach Journal of Mathematical Analysis
-
You-liang Hou, Yanbo Ren (2006)
Weak martingale Hardy spaces and weak atomic decompositionsScience in China Series A, 49
-
D. Chang, Songbai Wang, Dachun Yang, Yangyang Zhang (2019)
Littlewood-Paley Characterizations of Hardy-Type Spaces Associated with Ball Quasi-Banach Function SpacesComplex Analysis and Operator Theory, 14
-
M. Kikuchi (2018)
On martingale transform inequalities in certain quasi-Banach function spacesBollettino dell'Unione Matematica Italiana, 12
-
Guangheng Xie, F. Weisz, Dachun Yang, Y. Jiao (2018)
New martingale inequalities and applications to Fourier analysisNonlinear Analysis
-
K. Ho (2016)
Fourier integrals and sobolev imbedding on rearrangement invariant quasi-banach function spacesAnnales Academiae Scientiarum Fennicae. Mathematica, 41
-
Z. Hao, Libo Li (2020)
Orlicz-Lorentz Hardy martingale spacesJournal of Mathematical Analysis and Applications, 482
-
R. Long (2013)
Martingale Spaces and Inequalities -
T. Miyamoto, E. Nakai, Gaku Sadasue (2012)
Martingale Orlicz‐Hardy spacesMathematische Nachrichten, 285
-
Fan Wang, Dachun Yang, Sibei Yang (2019)
Applications of Hardy Spaces Associated with Ball Quasi-Banach Function SpacesResults in Mathematics, 75
-
H. König (1986)
Eigenvalue Distribution of Compact Operators -
E. Agora, J. Antezana, M. Carro, Javier Soria (2014)
Lorentz–Shimogaki and Boyd theorems for weighted Lorentz spacesJournal of the London Mathematical Society, 89
-
K. Ho (2020)
Martingale transforms and fractional integrals on rearrangement-invariant martingale Hardy spacesPeriodica Mathematica Hungarica, 81
-
C. Capone, M. Formica, Raffaella Giova (2013)
Grand Lebesgue spaces with respect to measurable functionsNonlinear Analysis-theory Methods & Applications, 85
-
Y. Jiao, F. Weisz, Guangheng Xie, Dachun Yang (2021)
Martingale Musielak–Orlicz–Lorentz Hardy Spaces with Applications to Dyadic Fourier AnalysisThe Journal of Geometric Analysis, 31
-
F. Weisz (1998)
The maximal Cesàro operator on Hardy spaces, 18
-
K. Ho (2014)
Atomic decompositions, dual spaces and interpolations of martingale Hardy-Lorentz-Karamata spacesQuarterly Journal of Mathematics, 65
-
E. Nakai, Gaku Sadasue (2019)
Commutators of fractional integrals on martingale Morrey spacesMathematical Inequalities & Applications
-
Songbai Wang, Dachun Yang, Wen Yuan, Yangyang Zhang (2019)
Weak Hardy-Type Spaces Associated with Ball Quasi-Banach Function Spaces II: Littlewood–Paley Characterizations and Real InterpolationThe Journal of Geometric Analysis, 31
-
K. Ho (2017)
Martingale inequalities on rearrangement-invariant quasi-Banach function spacesActa Scientiarum Mathematicarum, 83
-
M. Carro, Javier Soria (1993)
Weighted Lorentz Spaces and the Hardy OperatorJournal of Functional Analysis, 112
-
F. Weisz (2020)
Doob’s and Burkholder-Davis-Gundy inequalities with variable exponent -
M. Kikuchi (2016)
On Doob’s inequality and Burkholder’s inequality in weak spacesCollectanea Mathematica, 67
-
M. Kikuchi (2010)
On some inequalities for Doob decompositions in Banach function spacesMathematische Zeitschrift, 265
-
M. Kikuchi (2015)
On some martingale inequalities for mean oscillations in weak spacesRicerche di Matematica, 64
-
Y. Jiao, A. Yang, Lian Wu, Rui Yi (2014)
The predual and John-Nirenberg inequalities on generalized BMO martingale spacesTransactions of the American Mathematical Society, 369
-
M. Mastyło, E. Sánchez-Pérez (2014)
Köthe dual of Banach lattices generated by vector measuresMonatshefte für Mathematik, 173
-
M. Formica, Raffaella Giova (2015)
Boyd Indices in Generalized Grand Lebesgue Spaces and ApplicationsMediterranean Journal of Mathematics, 12
- Publisher
- de Gruyter
- Copyright
- © 2022 Walter de Gruyter GmbH, Berlin/Boston
- ISSN
- 0933-7741
- eISSN
- 1435-5337
- DOI
- 10.1515/forum-2021-0270
- Publisher site
- See Article on Publisher Site
Abstract
AbstractIn this paper, the authors introduce weak martingale Hardy-type spaces associated with a quasi-Banach function lattice. The authors then establish the atomic characterizations of these weak martingale Hardy-type spaces. As applications, the authors give the sufficient conditions for the boundedness of σ-sublinear operators from weak martingale Hardy-type spaces to a quasi-Banach function lattice. Furthermore, the authors clarify the relation among different weak martingale Hardy-type spaces in the framework of a rearrangement-invariant quasi-Banach function space. Finally, the authors apply these results to the weighted Lorentz space and the generalized grand Lebesgue space.
Journal
Forum Mathematicum – de Gruyter
Published: Mar 1, 2022
Keywords: Quasi-Banach function lattice; weak martingale Hardy-type spaces; atomic characterization; martingale inequality; rearrangement-invariant; 60G42; 60G46; 42B35