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

100%

Caetano A. M.

Studia Mathematica

2000

tom 142

nr 1

47-63

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.

Two-dimensional stable Lavrentiev phenomenon with and without boundary conditions

45%

Caetano A. M., Sarychev A., Seabra D.

Control and Cybernetics

2005

tom 34

nr 3

689-707

Ograniczanie wyników

1 Control and Cybernetics

1 Studia Mathematica

2 Caetano A. M.

1 Sarychev A.

1 Seabra D.

1 2005

1 2000

Wyniki wyszukiwania

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

Two-dimensional stable Lavrentiev phenomenon with and without boundary conditions