Marcinkiewicz-type interpolation theorem for Morrey-type spaces and its corollaries

DOI10.1080/17476933.2019.1664488zbMath1448.46026OpenAlexW2974394337WikidataQ127226481 ScholiaQ127226481MaRDI QIDQ5205921

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Publication date: 17 December 2019

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2019.1664488

zbMATH Keywords

singular integral operatorsMorrey spacesRiesz potentialMorrey-type spacesMarcinkiewicz-type interpolation theoremO'Neil-type inequality for convolutions

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) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Linear operators on function spaces (general) (47B38) Integral operators (47G10) Interpolation between normed linear spaces (46B70)

Related Items (3)

Interpolation theorems for nonlinear operators in general Morrey-type spaces and their applications ⋮ On the convolution operator in Morrey spaces ⋮ INTERPOLATION THEOREMS FOR NONLINEAR URYSOHN INTEGRAL OPERATORS IN GENERAL MORREY-TYPE SPACES

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