Ul'yanov-type inequalities and embeddings between Besov spaces: the case of parameters with limit values

DOI10.7153/MIA-20-48zbMath1386.46031OpenAlexW4256630954MaRDI QIDQ4588239

Oscar Dominguez

Publication date: 1 November 2017

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-20-48

zbMATH Keywords

Besov spacesmodulus of smoothnessembedding theorems\(K\)-functionalsUl'yanov-type inequalitiesgeneralized Lorentz-Zygmund 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) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Abstract interpolation of topological vector spaces (46M35)

Related Items (3)

Optimal local embeddings of Besov spaces involving only slowly varying smoothness ⋮ Nikol'skii-type inequalities for trigonometric polynomials for Lorentz-Zygmund spaces ⋮ Besov spaces with generalized smoothness and summability of multiple Fourier series

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