Boundedness of Hardy-Littlewood maximal operator on block spaces with variable exponent

DOI10.1007/s10587-014-0091-zzbMath1340.42053OpenAlexW1979195883MaRDI QIDQ2940633

Kwok-Pun Ho, Ka-Luen Cheung

Publication date: 27 January 2015

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/143957

zbMATH Keywords

Hardy-Littlewood maximal operatorblock spacevariable exponent analysis

Mathematics Subject Classification ID

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)

Related Items (16)

Vector-valued operators with singular kernel and Triebel-Lizorkin block spaces with variable exponents ⋮ Hardy's inequality on Hardy-Morrey spaces with variable exponents ⋮ Atomic decomposition of predictable martingale Hardy space with variable exponents ⋮ Intrinsic square functions on Morrey and block spaces with variable exponents ⋮ Extrapolation, John-Nirenberg inequalities and characterizations of BMO in terms of Morrey type spaces ⋮ Calderón-Zygmund operators, Bochner-Riesz means, and parametric Marcinkiewicz integrals on Hardy-Morrey spaces with variable exponents ⋮ Generalized Brezis-Seeger-Van Schaftingen-Yung formulae and their applications in ball Banach Sobolev spaces ⋮ Two-weight estimates for Hardy-Littlewood maximal functions and Hausdorff operators on $p$-adic Herz spaces ⋮ Brezis-van Schaftingen-Yung formulae in ball Banach function spaces with applications to fractional Sobolev and Gagliardo-Nirenberg inequalities ⋮ Sublinear operators on block-type spaces ⋮ Gagliardo representation of norms of ball quasi-Banach function spaces ⋮ Compactness characterizations of commutators on ball Banach function spaces ⋮ Local sharp maximal functions, geometrical maximal functions and rough maximal functions on local Morrey spaces with variable exponents ⋮ Variable martingale Hardy-Morrey spaces ⋮ Applications of Hardy spaces associated with ball quasi-Banach function spaces ⋮ Fractional geometrical maximal functions on Morrey spaces with variable exponents

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