Approximation by functions of compact support in Besov-Triebel-Lizorkin spaces on irregular domains

• Autorzy: António M. Caetano
• Języki publikacji: EN

Abstrakty

EN

General Besov and Triebel-Lizorkin spaces on domains with irregular boundary are compared with the completion, in those spaces, of the subset of infinitely continuously differentiable functions with compact support in the same domains. It turns out that the set of parameters for which those spaces coincide is strongly related to the fractal dimension of the boundary of the domains.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2000
• Tom: 142
• Numer: 1
• Strony: 47-63

Daty

wydano

2000

otrzymano

1999-08-13

poprawiono

2000-02-04

Twórcy

autor

António M. Caetano

• Departamento de Matemática, Universidade de Aveiro, 3810-193 Aveiro, Portugal

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