Preduals of Sobolev-Campanato spaces

Konrad Gröger; Lutz Recke

Mathematica Bohemica (2001)

  • Volume: 126, Issue: 2, page 403-410
  • ISSN: 0862-7959

Abstract

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We present definitions of Banach spaces predual to Campanato spaces and Sobolev-Campanato spaces, respectively, and we announce some results on embeddings and isomorphisms between these spaces. Detailed proofs will appear in our paper in Math. Nachr.

How to cite

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Gröger, Konrad, and Recke, Lutz. "Preduals of Sobolev-Campanato spaces." Mathematica Bohemica 126.2 (2001): 403-410. <http://eudml.org/doc/248852>.

@article{Gröger2001,
abstract = {We present definitions of Banach spaces predual to Campanato spaces and Sobolev-Campanato spaces, respectively, and we announce some results on embeddings and isomorphisms between these spaces. Detailed proofs will appear in our paper in Math. Nachr.},
author = {Gröger, Konrad, Recke, Lutz},
journal = {Mathematica Bohemica},
keywords = {scales of Banach spaces; embedding theorems; predual to Campanato spaces; Sobolev-Campanato spaces; scales of Banach spaces; embedding theorems; predual to Campanato spaces; Sobolev-Campanato spaces},
language = {eng},
number = {2},
pages = {403-410},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Preduals of Sobolev-Campanato spaces},
url = {http://eudml.org/doc/248852},
volume = {126},
year = {2001},
}

TY - JOUR
AU - Gröger, Konrad
AU - Recke, Lutz
TI - Preduals of Sobolev-Campanato spaces
JO - Mathematica Bohemica
PY - 2001
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 126
IS - 2
SP - 403
EP - 410
AB - We present definitions of Banach spaces predual to Campanato spaces and Sobolev-Campanato spaces, respectively, and we announce some results on embeddings and isomorphisms between these spaces. Detailed proofs will appear in our paper in Math. Nachr.
LA - eng
KW - scales of Banach spaces; embedding theorems; predual to Campanato spaces; Sobolev-Campanato spaces; scales of Banach spaces; embedding theorems; predual to Campanato spaces; Sobolev-Campanato spaces
UR - http://eudml.org/doc/248852
ER -

References

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  2. Zur Regularität linearer elliptischer und parabolischer Randwertprobleme mit nichtglatten Daten, Thesis, Humboldt-Universität zu Berlin, 2000. (2000) Zbl0986.35030MR1867697
  3. Preduals of Camapanato spaces and Sobolev-Campanato spaces: A general approach, Preprint 498 (1999), Weierstraß-Institut für Angewandte Analysis und Stochastik (to appear). (to appear) 
  4. Linear and Quasilinear Elliptic Equations, Nauka, Moskva, 1964, 1973. (Russian) (1964, 1973) 
  5. 10.4064/sm-21-1-55-66, Studia Math. 21 (1961), 55–66. (1961) Zbl0101.08901MR0140927DOI10.4064/sm-21-1-55-66
  6. Equivalence between the growth of ∫ B ( x , r ) | ∇ u | p y and T in the equation P [ u ] = T , J. Differ. Equations 86 (1990), 102–122. (1990) Zbl0707.35033MR1061892
  7. 10.1080/03605309108820793, Comm. Partial Differ. Equations 16 (1991), 1155–1182. (1991) Zbl0827.35021MR1116857DOI10.1080/03605309108820793
  8. Theory of Function Spaces II, Birkhäuser-Verlag, Basel, 1992. (1992) Zbl0763.46025MR1163193
  9. Elliptic Differential Equations and Obstacle Problems, Plenum Press, New York, 1987. (1987) Zbl0655.35002MR1094820

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