Boundedness of Cesàro and Riesz means in variable dyadic Hardy spaces

DOI10.1215/17358787-2018-0037zbMath1418.42037OpenAlexW2947638531MaRDI QIDQ2314368

Kristóf Szarvas, Ferenc Weisz

Publication date: 22 July 2019

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bjma/1559268029

zbMATH Keywords

boundednessCesàro meansRiesz meansvariable Hardy spacesvariable Hardy-Lorentz spacesCesàro and Riesz 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) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) (H^p)-spaces (42B30) Martingales and classical analysis (60G46)

Related Items

Applications of mixed martingale Hardy spaces in Fourier analysis ⋮ Dual spaces of mixed-norm martingale Hardy spaces ⋮ New fractional maximal operators in the theory of martingale Hardy and Lebesgue spaces with variable exponents ⋮ Boundedness of dyadic maximal operators on variable Lebesgue spaces ⋮ Characterizations of variable martingale Hardy spaces via maximal functions

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