On two-sided and asymptotic estimates for the norms of embedding operators of \(\overset\circ{W}_2^n(-1,1)\) into \(L_q(d\mu)\)

DOI10.1134/S0081543814010118zbMath1303.46024MaRDI QIDQ483387

G. A. Kalyabin

Publication date: 17 December 2014

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

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)

Cites Work

• Sharp estimates for derivatives of functions in the Sobolev classes \(\overset{\circ} {W}_{2}^r (-1,1)\)
• Some problems for Sobolev spaces on the half-line
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