Envelopes and Sharp Embeddings of Function Spaces (Chapman & by Dorothee D. Haroske

By Dorothee D. Haroske

formerly, no e-book has systematically awarded the lately constructed idea of envelopes in functionality areas. Envelopes are fairly basic instruments for the research of classical and extra advanced areas, reminiscent of Besov and Triebel-Lizorkin forms, in proscribing events. This conception originates from the classical results of the Sobolev embedding theorem, ubiquitous in all parts of sensible research.

Self-contained and available, Envelopes and Sharp Embeddings of functionality Spaces presents the 1st specified account of the hot idea of progress and continuity envelopes in functionality areas. The e-book is easily dependent into elements, first supplying a accomplished creation after which reading extra complicated themes. many of the classical functionality areas mentioned within the first half contain Lebesgue, Lorentz, Lipschitz, and Sobolev. the writer defines development and continuity envelopes and examines their homes. partially II, the booklet explores the implications for functionality areas of Besov and Triebel-Lizorkin kinds. the writer then offers a number of purposes of the implications, together with Hardy-type inequalities, asymptotic estimates for entropy, and approximation numbers of compact embeddings.

As one of many key researchers during this progressing box, the writer bargains a coherent presentation of the new advancements in functionality areas, delivering priceless details for graduate scholars and researchers in practical analysis.

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