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; 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; 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. Banach spaces of Lipschitz functions, Studia Math. 21 (1961), 55–66. (1961) Zbl0101.08901MR0140927
  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. Quasilinear equations and spaces of Campanato-Morrey type, Comm. Partial Differ. Equations 16 (1991), 1155–1182. (1991) Zbl0827.35021MR1116857
  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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