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Spaces of Lipschitz type, embeddings and entropy numbers

Edmunds D. E.; Haroske D. — 1999

AbstractWe establish the sharpness of the embedding of certain Besov and Triebel-Lizorkin spaces in spaces of Lipschitz type. In particular, this proves the sharpness of the Brézis-Wainger result concerning the “almost” Lipschitz continuity of elements of the Sobolev space $H_{p}^{1 + n / p} (ℝ ⁿ)$ , where 1 < p < ∞. Upper and lower estimates are obtained for the entropy numbers of related embeddings of Besov spaces on bounded domains. CONTENTSIntroduction...........................................................51....

Fourier approximation and embeddings of Sobolev spaces

D. E. Edmunds; V. B. Moscatelli — 1977

CONTENTSIntroduction............................................................................................................ 51. Preliminaries............................................................................................................. 82. Embedding into $W^{m, p} (Ω)$ into $L^{S} (Ω)$ (n>1).......................................... 103. The case n = 1.......................................................................................................... 284. Embedding $W^{m, p} (Ω)$ into $L^{φ} (Ω)$ ...............................................................

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Currently displaying 1 – 5 of 5

Spaces of Lipschitz type, embeddings and entropy numbers

Fourier approximation and embeddings of Sobolev spaces

Some remarks on variants of the Navier-Stokes equations

Quasilinear parabolic equations

Elliptic and degenerate-elliptic operators in unbounded domains