Interpolation of Besov \(B^{\sigma q}_{p\tau}\) and Lizorkin-Triebel \(F^{\sigma q}_{p\tau}\) spaces

DOI10.1007/S10476-009-0301-3zbMath1199.41111OpenAlexW2495594711MaRDI QIDQ2380689

E. D. Nursultanov, Kuanysh A. Bekmaganbetov

Publication date: 8 April 2010

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10476-009-0301-3

zbMATH Keywords

Besov spacesLizorkin-Triebel spaces

Mathematics Subject Classification ID

Approximation by operators (in particular, by integral operators) (41A35)

Related Items (5)

ON THE INEQUALITY OF DIFFERENT METRICS FOR MULTIPLE FOURIER-HAAR SERIES ⋮ Interpolation properties of certain classes of net spaces ⋮ Interpolation theorem for anisotropic net spaces ⋮ On summability of Fourier coefficients of functions from Lebesgue space ⋮ The Hardy-Littlewood theorem for double Fourier-Haar series from mixed metric Lebesgue \(L_{\bar p}[0, 1^2\) and net \(N_{\bar p,\bar q}(M)\) spaces]

Uses Software

• Unnamed Item

Cites Work

• The method of multi-parameter interpolation and imbedding theorems of Besov spaces \(B^{\overrightarrow{\alpha}}_{\overrightarrow{p}}[0,2{\pi})\)
• Interpolation theorems for anisotropic function spaces and their applications
• On a class of interpolation spaces
• On convolution operators leaving \(L^{p,\lambda}\) spaces invariant
• Lions–Peetre reiteration formulas for triples and their applications
• Interpolation of $2^{n}$ Banach spaces

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