Sharp \(L^{p,\infty}\to L^q\) estimates for the dyadic-like maximal operators

DOI10.1007/s00041-014-9338-1zbMath1311.42052OpenAlexW2032101053MaRDI QIDQ485268

Adam Osȩkowski

Publication date: 9 January 2015

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-014-9338-1

zbMATH Keywords

Bellman functiondyadic maximal operator\(L^{p,\infty}\)-\(L^q\) estimates

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)

Related Items (9)

Sharp weighted weak-norm estimates for maximal functions ⋮ Local lower norm estimates for dyadic maximal operators and related Bellman functions ⋮ A sharp two-weight estimate for the maximal operator under a bump condition ⋮ On A_p–A_q weighted estimates for maximal operators ⋮ An extension of a Hardy's inequality and its applications ⋮ Sharp Lorentz estimates for dyadic-like maximal operators and related Bellman functions ⋮ A SPLITTING PROCEDURE FOR BELLMAN FUNCTIONS AND THE ACTION OF DYADIC MAXIMAL OPERATORS ON ⋮ Sharp Lorentz-norm estimates for dyadic-like maximal operators ⋮ Extremal sequences for the Bellman function of three variables of the dyadic maximal operator related to Kolmogorov’s inequality

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