Continuity conditions for the Hilbert transform on quasi-Hilbert spaces

DOI10.5644/SJM.10.1.14zbMath1316.47036MaRDI QIDQ2875793

Fikret Vajzović, Sead Peco, Amina Šahović

Publication date: 12 August 2014

Published in: Sarajevo Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hilbert transformcosine operator functionquasi-Hilbert spacepositive square rootone-parameter group of operators

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) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Generalizations of inner products (semi-inner products, partial inner products, etc.) (46C50) Groups and semigroups of linear operators (47D03) Integral operators (47G10) Operator sine and cosine functions and higher-order Cauchy problems (47D09)

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