Some problems for Sobolev spaces on the half-line
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Publication:2342264
DOI10.1134/S0081543806040122zbMath1351.46033MaRDI QIDQ2342264
Publication date: 11 May 2015
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)
Related Items (6)
Sharp estimates for derivatives of functions in the Sobolev classes \(\overset{\circ} {W}_{2}^r (-1,1)\) ⋮ On the well-posedness of a boundary value problem for a class of fourth-order operator-differential equations ⋮ On two-sided and asymptotic estimates for the norms of embedding operators of \(\overset\circ{W}_2^n(-1,1)\) into \(L_q(d\mu)\) ⋮ Maslov's canonical operator, Hörmander's formula, and localization of the Berry-Balazs solution in the theory of wave beams ⋮ On the correct solvability of the boundary-value problem for one class operator-differential equations of the fourth order with complex characteristics ⋮ Sharp estimates for functions of class \(\overset {\circ } W_{2}^r (-1,1)\)
Cites Work
- Exact constants in the inequalities between norms of functions and their derivatives
- The best extension operators for Sobolev spaces on the half-line
- Best approximation of unbounded operators by bounded ones
- Sharp constants in inequalities for intermediate derivatives (the Gabushin case)
- Best approximation of linear operators
- Exact bounds for the minimum norm of extension operators for Sobolev spaces
- An asymptotic formula for the minimum eigenvalues of Hilbert type matrices
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