Atomic decompositions of martingale Hardy-Morrey spaces

DOI10.1007/s10474-016-0591-4zbMath1399.60077OpenAlexW2302510578MaRDI QIDQ1701321

Kwok-Pun Ho

Publication date: 22 February 2018

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-016-0591-4

zbMATH Keywords

Hardy spaceatomic decompositionmartingaleMorrey space

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) Martingales and classical analysis (60G46)

Related Items (14)

Weak martingale Hardy-type spaces associated with quasi-Banach function lattice ⋮ The boundedness of Doob's maximal and fractional integral operators for generalized grand Morrey-martingale spaces ⋮ Doob's inequality, Burkholder-Gundy inequality and martingale transforms on martingale Morrey spaces ⋮ Dual spaces for martingale Musielak-Orlicz Lorentz Hardy spaces ⋮ Martingale weak Orlicz-Karamata-Hardy spaces associated with concave functions ⋮ Boundedness of Hardy-Littlewood maximal operator on block spaces with variable exponent ⋮ Dyadic maximal operators on martingale Musielak-Orlicz Hardy type spaces and applications ⋮ Doob's maximal inequality and Burkholder-Davis-Gundy's inequality on Musielak-Orlicz spaces ⋮ Martingale transforms and fractional integrals on rearrangement-invariant martingale Hardy spaces ⋮ Mixed atomic decomposition of martingale weak Hardy-Morrey spaces ⋮ B-valued martingale Hardy-Lorentz-Karamata spaces ⋮ Variable martingale Hardy-Morrey spaces ⋮ Atomic characterizations of weak martingale Musielak-Orlicz Hardy spaces and their applications ⋮ Atomic decompositions of martingale Hardy-Lorentz spaces and interpolation

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