How to define reasonably weighted Sobolev spaces

Alois Kufner; Bohumír Opic

Commentationes Mathematicae Universitatis Carolinae (1984)

  • Volume: 025, Issue: 3, page 537-554
  • ISSN: 0010-2628

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Kufner, Alois, and Opic, Bohumír. "How to define reasonably weighted Sobolev spaces." Commentationes Mathematicae Universitatis Carolinae 025.3 (1984): 537-554. <http://eudml.org/doc/17341>.

@article{Kufner1984,
author = {Kufner, Alois, Opic, Bohumír},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Sobolev weight space},
language = {eng},
number = {3},
pages = {537-554},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {How to define reasonably weighted Sobolev spaces},
url = {http://eudml.org/doc/17341},
volume = {025},
year = {1984},
}

TY - JOUR
AU - Kufner, Alois
AU - Opic, Bohumír
TI - How to define reasonably weighted Sobolev spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1984
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 025
IS - 3
SP - 537
EP - 554
LA - eng
KW - Sobolev weight space
UR - http://eudml.org/doc/17341
ER -

References

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  1. DUNFORD N., SCHWARTZ J. T., Linear Operators. Part I : General Theory, Interscience Publishers, New York, London 1958. (1958) MR1009162
  2. KUFNER A., JOHN O., FUČÍK S., Function spaces, Academia, Praha & Noordhoff International Publishing, Leyden 1977. (1977) MR0482102
  3. MUCKENHOUPT B., Weighted norm inequalities for the Hardy maximal function, Trans. Amer. Math. Soc. 165 (1977), 207-226. (1977) MR0293384

Citations in EuDML Documents

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  1. Bohumír Opic, Compact imbedding of weighted Sobolev space defined on an unbounded domain. I.
  2. Pavel Drábek, Alois Kufner, Compact imbeddings in weighted Sobolev spaces and nonlinear boundary value problems
  3. Petr Gurka, Bohumír Opic, Continuous and compact imbeddings of weighted Sobolev spaces. I
  4. Alois Kufner, Bohumír Opic, The Dirichlet problem and weighted spaces. II.
  5. Aldo Goia, Ernesto Salinelli, Optimal nonlinear transformations of random variables
  6. Tero Kilpeläinen, Smooth approximation in weighted Sobolev spaces
  7. Bohumír Opic, Necessary and sufficient conditions for imbeddings in weighted Sobolev spaces
  8. Laurent Hoeltgen, Andreas Kleefeld, Isaac Harris, Michael Breuss, Theoretical foundation of the weighted Laplace inpainting problem

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