Ulyanov-type inequalities between Lorentz-Zygmund spaces

DOI10.1007/s00041-014-9343-4zbMath1316.41010OpenAlexW2062855660MaRDI QIDQ485278

Bohumír Opic, Walter Trebels, Amiran Gogatishvili, Sergey Yu. Tikhonov

Publication date: 9 January 2015

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

Full work available at URL: https://doi.org/10.1007/s00041-014-9343-4

zbMATH Keywords

Besov spacesmoduli of smoothnessLipschitz spacesLorentz-Zygmund spaces\(K\)-functionals

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) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Multipliers for harmonic analysis in several variables (42B15) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

Related Items (14)

Positive \(L^p\)-bounded Dunkl-type generalized translation operator and its applications ⋮ On the relationship between two kinds of Besov spaces with smoothness near zero and some other applications of limiting interpolation ⋮ New estimates for the maximal functions and applications ⋮ Embeddings for spaces of Lorentz-Sobolev type ⋮ On Besov spaces of logarithmic smoothness and Lipschitz spaces ⋮ Optimal local embeddings of Besov spaces involving only slowly varying smoothness ⋮ Nikol'skii inequalities for Lorentz-Zygmund spaces ⋮ Fractional smoothness in \(L^p\) with Dunkl weight and its applications ⋮ Weighted norm inequalities for positive operators restricted on the cone of λ-quasiconcave functions ⋮ Nikol'skii-type inequalities for trigonometric polynomials for Lorentz-Zygmund spaces ⋮ Properties of moduli of smoothness in \(L_p (\mathbb{R}^d)\) ⋮ Besov spaces with generalized smoothness and summability of multiple Fourier series ⋮ Nikol'skii-type inequalities for entire functions of exponential type in Lorentz-Zygmund spaces ⋮ Function Spaces of Logarithmic Smoothness: Embeddings and Characterizations

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