Birman, M. Sh.; Solomyak, M. Z. [Cezus, F. A.; Leifman, Lev J.] Quantitative analysis in Sobolev imbedding theorems and applications to spectral theory. Transl. from the Russian by F. A. Cezus. Ed. by Lev J. Leifman. (English) Zbl 0426.46020 American Mathematical Society (AMS). Translations, Series 2, 114. Providence, Rhose Island: American Mathematical Society (AMS). VII, 132 p. (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 4 ReviewsCited in 74 Documents MSC: 46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems 47Gxx Integral, integro-differential, and pseudodifferential operators 47A70 (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces 47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.) 47A50 Equations and inequalities involving linear operators, with vector unknowns 35S99 Pseudodifferential operators and other generalizations of partial differential operators 35B25 Singular perturbations in context of PDEs 45C05 Eigenvalue problems for integral equations 35P05 General topics in linear spectral theory for PDEs 47-02 Research exposition (monographs, survey articles) pertaining to operator theory 46-02 Research exposition (monographs, survey articles) pertaining to functional analysis Keywords:quantitative analysis; Sobolev imbedding theorems; spectral theory; entropy; n-widths; multiplier problem; kernels; symbols of pseudo- differential operators; singular values of weakly polar integral operators; polyharmonic operator; weighted spaces; elliptic variational problems with nonsmooth coefficients PDFBibTeX XML