Interpolation theorems for anisotropic function spaces and their applications
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Publication:2455165
zbMath1127.46301MaRDI QIDQ2455165
Publication date: 22 October 2007
Published in: Doklady Mathematics (Search for Journal in Brave)
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Interpolation between normed linear spaces (46B70)
Related Items (11)
Interpolation of Besov \(B^{\sigma q}_{p\tau}\) and Lizorkin-Triebel \(F^{\sigma q}_{p\tau}\) spaces ⋮ ON THE INEQUALITY OF DIFFERENT METRICS FOR MULTIPLE FOURIER-HAAR SERIES ⋮ Estimate for the order of orthoprojection width of the Nikol'skii-Besov class in the metric of anisotropic Lorentz spaces ⋮ On reconstruction of multiplicative transformations of functions in anisotropic spaces ⋮ O'NEIL-TYPE INEQUALITIES FOR CONVOLUTIONS IN ANISOTROPIC LORENTZ SPACES ⋮ EESTIMATES OF BEST APPROXIMATIONS OF FUNCTIONS WITH LOGARITHMIC SMOOTHNESS IN THE LORENTZ SPACE WITH ANISOTROPIC NORM ⋮ Interpolation theorem for anisotropic net spaces ⋮ Multipliers of double Fourier-Haar series ⋮ Reconstruction Operator of Functions from the Sobolev Space ⋮ Nikol'skii's inequality for different metrics and properties of the sequence of norms of the Fourier sums of a function in the Lorentz 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]
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