Martingale Musielak-Orlicz-Lorentz Hardy spaces with applications to dyadic Fourier analysis

DOI10.1007/s12220-021-00671-8zbMath1489.60066OpenAlexW3153790919MaRDI QIDQ2238540

Guangheng Xie, Ferenc Weisz, Yong Jiao, Da Chun Yang

Publication date: 1 November 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-021-00671-8

zbMATH Keywords

Lorentz spaceprobability spaceMusielak-Orlicz functionmartingale Hardy spaceFejér operatorDoob maximal operator

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Martingales and classical analysis (60G46)

Related Items (15)

Weak martingale Hardy-type spaces associated with quasi-Banach function lattice ⋮ Dual spaces for martingale Musielak-Orlicz Lorentz Hardy spaces ⋮ Grand martingale Hardy spaces for \(0<p \leq 1\) ⋮ Generalized grand Lorentz martingale spaces ⋮ Dyadic maximal operators on martingale Musielak-Orlicz Hardy type spaces and applications ⋮ New Doob's maximal inequalities for martingales ⋮ Variable Hardy–Lorentz martingale spaces Hp(·),q(·)$\mathcal {H}_{p(\cdot ),q(\cdot )}$ ⋮ Martingale inequalities on Musielak–Orlicz Hardy spaces ⋮ Weighted Hardy-Orlicz-amalgam spaces of martingales ⋮ Dual spaces and inequalities of new weak martingale Hardy spaces ⋮ Atomic characterization of Musielak-Orlicz-Lorentz Hardy spaces and its applications to real interpolation and boundedness of Calderón-Zygmund operators ⋮ Unnamed Item ⋮ Real interpolation of martingale Orlicz Hardy spaces and BMO spaces ⋮ Atomic decompositions and John-Nirenberg theorem of grand martingale Hardy spaces with variable exponents ⋮ Two-parameter martingale Orlicz-Hardy spaces

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