DESCRIPTION OF THE SPACESLpr(Rn) IN TERMS OF SINGULAR DIFFERENCE INTEGRALS

DOI10.1070/SM1970v010n01ABEH001587zbMath0214.37903OpenAlexW2050438391MaRDI QIDQ5617127

P. I. Lizhorkin

Publication date: 1970

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1970v010n01abeh001587

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) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Distributions, generalized functions, distribution spaces (46F99) Derivatives of functions in infinite-dimensional spaces (46G05) Conjugate functions, conjugate series, singular integrals (42A50)

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Bernstein inequality for the Riesz derivative of fractional order less than unity of entire functions of exponential type

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