Haar system rearrangements in Lorentz spaces

DOI10.1007/BF00973478zbMath0811.42008OpenAlexW68064261MaRDI QIDQ1335970

Evgeny M. Semenov

Publication date: 8 November 1994

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00973478

zbMATH Keywords

rearrangementHaar systemlinear operatorinterpolation spacesLorentz spacesHaar polynomials

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 series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Cites Work

• On equivalence of rearrangements of the Haar system in dyadic Hardy and BMO spaces
• On the boundedness of operators rearranging the Haar system in the spaces \(L_ p\).
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