On the intersection of Sobolev spaces
A. Benedek, R. Panzone (1990)
Colloquium Mathematicae
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A. Benedek, R. Panzone (1990)
Colloquium Mathematicae
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Ding Hua (1989)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Hans Wallin (1991)
Manuscripta mathematica
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Carlos E. Kenig (1983-1984)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Hans Triebel (2002)
Revista Matemática Complutense
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Function spaces of type B and F cover as special cases classical and fractional Sobolev spaces, classical Besov spaces, Hölder-Zygmund spaces and inhomogeneous Hardy spaces. In the last 2 or 3 decades they haven been studied preferably on R and in smooth bounded domains in R including numerous applications to pseudodifferential operators, elliptic boundary value problems etc. To a lesser extent spaces of this type have been considered in Lipschitz domains....
Bartłomiej Dyda (2010)
Studia Mathematica
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We prove norm inequalities between Lorentz and Besov-Lipschitz spaces of fractional smoothness.
V. Barucci, D.E. Dobbs, M. Fontana (1986)
Manuscripta mathematica
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Björn E.J. Dahlberg (1979)
Mathematica Scandinavica
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David Edmunds, Jiří Rákosník (2000)
Studia Mathematica
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Keijo Hildén (1976)
Manuscripta mathematica
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Muhammad Zafrullah (1978)
Manuscripta mathematica
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Guillermo P. Curbera, Werner J. Ricker (2005)
Studia Mathematica
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António Caetano (2000)
Studia Mathematica
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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.
Klas Diederich, John Erik Fornaess (1978)
Manuscripta mathematica
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Carlos E. Kenig (1984-1985)
Séminaire Équations aux dérivées partielles (Polytechnique)
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