Sharp estimates for derivatives of functions in the Sobolev classes \(\overset{\circ} {W}_{2}^r (-1,1)\)

DOI10.1134/S0081543810020112zbMath1208.46033OpenAlexW2143932731MaRDI QIDQ605968

G. A. Kalyabin

Publication date: 15 November 2010

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543810020112

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Estimates of eigenvalues in context of PDEs (35P15)

Related Items (8)

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 ⋮ On the symmetry of extremal in several embedding theorems ⋮ On two-sided and asymptotic estimates for the norms of embedding operators of \(\overset\circ{W}_2^n(-1,1)\) into \(L_q(d\mu)\) ⋮ On sharp estimates of even-order derivatives in Sobolev spaces ⋮ Properties of extrema of estimates for middle derivatives of odd order in Sobolev classes ⋮ Estimates of derivatives in Sobolev spaces in terms of hypergeometric functions ⋮ An explicit form for extremal functions in the embedding constant problem for Sobolev spaces

Cites Work

• Some problems for Sobolev spaces on the half-line
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