| Title:
|
Preduals of Sobolev-Campanato spaces (English) |
| Author:
|
Gröger, Konrad |
| Author:
|
Recke, Lutz |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
126 |
| Issue:
|
2 |
| Year:
|
2001 |
| Pages:
|
403-410 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
scales of Banach spaces |
| Keyword:
|
embedding theorems |
| Keyword:
|
predual to Campanato spaces |
| Keyword:
|
Sobolev-Campanato spaces |
| MSC:
|
46A13 |
| MSC:
|
46A20 |
| MSC:
|
46B10 |
| MSC:
|
46E35 |
| idZBL:
|
Zbl 0983.46032 |
| idMR:
|
MR1844278 |
| DOI:
|
10.21136/MB.2001.134016 |
| . |
| Date available:
|
2009-09-24T21:51:59Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134016 |
| . |
| Reference:
|
[1] S. Campanato: Proprietà di una famiglia di spazi funzionali.Ann. Scuola Norm. Sup. Pisa 18 (1964), 137–160. Zbl 0133.06801, MR 0167862 |
| Reference:
|
[2] J. A. Griepentrog: Zur Regularität linearer elliptischer und parabolischer Randwertprobleme mit nichtglatten Daten.Thesis, Humboldt-Universität zu Berlin, 2000. Zbl 0986.35030, MR 1867697 |
| Reference:
|
[3] K. Gröger, L. Recke: Preduals of Camapanato spaces and Sobolev-Campanato spaces: A general approach.Preprint 498 (1999), Weierstraß-Institut für Angewandte Analysis und Stochastik (to appear). |
| Reference:
|
[4] O. A. Ladyshenskaya, N. N. Ural’tseva: Linear and Quasilinear Elliptic Equations.Nauka, Moskva, 1964, 1973. (Russian) |
| Reference:
|
[5] K. de Leeuw: Banach spaces of Lipschitz functions.Studia Math. 21 (1961), 55–66. Zbl 0101.08901, MR 0140927, 10.4064/sm-21-1-55-66 |
| Reference:
|
[6] J. M. Rakotoson: Equivalence between the growth of $\int _{B(x,r)}|\nabla u|^py$ and $T$ in the equation $P[u]=T$.J. Differ. Equations 86 (1990), 102–122. Zbl 0707.35033, MR 1061892 |
| Reference:
|
[7] J. M. Rakotoson: Quasilinear equations and spaces of Campanato-Morrey type.Comm. Partial Differ. Equations 16 (1991), 1155–1182. Zbl 0827.35021, MR 1116857, 10.1080/03605309108820793 |
| Reference:
|
[8] H. Triebel: Theory of Function Spaces II.Birkhäuser-Verlag, Basel, 1992. Zbl 0763.46025, MR 1163193 |
| Reference:
|
[9] G. Troianiello: Elliptic Differential Equations and Obstacle Problems.Plenum Press, New York, 1987. Zbl 0655.35002, MR 1094820 |
| . |
