Martingale Hardy spaces and the dyadic derivative

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1998 English Publisher:Springer Science and Business Media LLCJournal:Analysis Mathematica, volume 24, pages 59-77 (issn: 0133-3852, eissn: 1588-273X,

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Authors: Weisz, Ferenc;

doi: 10.1007/bf02771074

Martingale Hardy spaces and the dyadic derivative

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Abstract

It is shown that the maximal operator of the one-dimensional dyadic derivative of the dyadic integral is bounded from the dyadic Hardy-Lorentz space \(H_{p,q}\) to \(L_{p,q}\) for each \(1/2

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Eötvös Loránd University
Hungary

Keywords

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.), Walsh system, Maximal functions, Littlewood-Paley theory, Hardy-Lorentz spaces, dyadic derivative, differentiability of two-dimensional functions, maximal operator, \(H^p\)-spaces

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