Sharp weak type inequality for fractional integral operators associated with \(d\)-dimensional Walsh-Fourier series

DOI10.1007/s00020-013-2116-7zbMath1306.42028OpenAlexW203044123WikidataQ59398586 ScholiaQ59398586MaRDI QIDQ744183

Adam Osȩkowski

Publication date: 6 October 2014

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-013-2116-7

zbMATH Keywords

fractional integralBellman functionweak-type inequality\(d\)-dimensional Walsh-Fourier series

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) (H^p)-spaces (42B30)

Related Items

Fractional integration for irregular martingales, Sharp weak type inequalities for fractional integral operators, The $\boldsymbol {\mathrm {BMO}}\boldsymbol {\rightarrow }\boldsymbol {\mathrm {BLO}}$ action of the maximal operator on $\boldsymbol \alpha $-trees

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