Martingale Hardy spaces and the dyadic derivative

DOI10.1007/BF02771074zbMath0914.42020OpenAlexW1998322MaRDI QIDQ1280251

Ferenc Weisz

Publication date: 14 March 1999

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02771074

zbMATH Keywords

maximal operatorWalsh systemHardy-Lorentz spacesdyadic derivativedifferentiability of two-dimensional functions

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) (H^p)-spaces (42B30)

Related Items (4)

The fundamental theorem of two-parameter pointwise derivative on Vilenkin groups ⋮ On the two-dimensional pointwise dyadic calculus ⋮ The martingale Hardy type inequalities for dyadic derivative and integral ⋮ B-valued dyadic derivative

Cites Work

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• On dyadic analysis based on the pointwise dyadic derivative
• Martingale Hardy spaces and their applications in Fourier analysis
• Cesàro summability of one- and two-dimensional Walsh-Fourier series
• A fundamental theorem of dyadic calculus for the unit square
• Dyadic calculus and sampling theorems for functions with multidimensional domain I. General theory
• Some maximal lnequalities with respect to two-parameter dyadic derivative and cesàro summability
• Walsh-fourier series and the concept of a derivative^†
• $(H_p,L_p)$-type inequalities for the two-dimensional dyadic derivative

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