Estimates of derivatives in Sobolev spaces in terms of hypergeometric functions

DOI10.1134/S0001434621030214zbMath1479.46039OpenAlexW3180409844MaRDI QIDQ2037694

T. A. Garmanova

Publication date: 8 July 2021

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434621030214

zbMATH Keywords

Sobolev spacehypergeometric functionsanalytic inequalitiesLegendre polynomialsembedding constants

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (2)

Orthogonality relations for the primitives of Legendre polynomials and their applications to some spectral problems for differential operators ⋮ Relationship between the best \(L_p\) approximations of splines by polynomials with estimates of the values of intermediate derivatives in Sobolev spaces

Cites Work

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• Sharp estimates for derivatives of functions in the Sobolev classes \(\overset{\circ} {W}_{2}^r (-1,1)\)
• On the symmetry of extremal in several embedding theorems
• An explicit form for extremal functions in the embedding constant problem for Sobolev spaces

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