Approximation of distribution spaces by means of kernel operators

DOI10.1007/s00041-001-4032-5zbMath0893.46030OpenAlexW1963901543MaRDI QIDQ1378935

George C. Kyriazis

Publication date: 24 August 1998

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/59478

zbMATH Keywords

order of approximationtempered distributionsquotienthomogeneous Triebel-Lizorkin spacesSchwartz kernelatomic and molecular decompositionStrang-Fix conditions

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Integral transforms in distribution spaces (46F12) Harmonic analysis in several variables (42B99) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

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