General monotonicity and interpolation of operators

DOI10.1016/J.JMAA.2015.09.087zbMath1351.46025OpenAlexW2191947234MaRDI QIDQ898853

Thomas R. Savage, Stepan M. Grigoriev, Yoram Sagher

Publication date: 21 December 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.09.087

zbMATH Keywords

Fourier coefficientsinterpolation of operatorsgeneral monotonicity\(L(p, q)\) spaces

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)

Related Items (7)

Functions with general monotone Fourier coefficients ⋮ Uniform convergence of double sine transforms of general monotone functions ⋮ Piecewise general monotone functions and the Hardy-Littlewood theorem ⋮ Unnamed Item ⋮ Weighted norm inequalities for integral transforms ⋮ Smoothness and asymptotic properties of functions with general monotone Fourier coefficients ⋮ Functions preserving general monotone sequence

Cites Work

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• Weak Monotonicity Concept and Its Applications
• General monotone sequences and trigonometric series
• An application of interpolation theory to Fourier series
• Some remarks an interpolation of operators and Fourier coefficients

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