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

Studia Mathematica (2000)

- Volume: 142, Issue: 1, page 47-63
- ISSN: 0039-3223

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topCaetano, António. "Approximation by functions of compact support in Besov-Triebel-Lizorkin spaces on irregular domains." Studia Mathematica 142.1 (2000): 47-63. <http://eudml.org/doc/216788>.

@article{Caetano2000,

abstract = {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.},

author = {Caetano, António},

journal = {Studia Mathematica},

keywords = {general Besov and Triebel-Lizorkin spaces on domains with irregular boundary; infinitely continuously differentiable functions with compact support},

language = {eng},

number = {1},

pages = {47-63},

title = {Approximation by functions of compact support in Besov-Triebel-Lizorkin spaces on irregular domains},

url = {http://eudml.org/doc/216788},

volume = {142},

year = {2000},

}

TY - JOUR

AU - Caetano, António

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

JO - Studia Mathematica

PY - 2000

VL - 142

IS - 1

SP - 47

EP - 63

AB - 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.

LA - eng

KW - general Besov and Triebel-Lizorkin spaces on domains with irregular boundary; infinitely continuously differentiable functions with compact support

UR - http://eudml.org/doc/216788

ER -

## References

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