A Class of Weighted Spaces

Michel Artola

Bollettino dell'Unione Matematica Italiana (2012)

  • Volume: 5, Issue: 1, page 125-158
  • ISSN: 0392-4041

Abstract

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Hardy's inequality is used to give trace results, approximation and intermediate derivative properties for some weighted Banach spaces of generalized Sobolev type.

How to cite

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Artola, Michel. "A Class of Weighted Spaces." Bollettino dell'Unione Matematica Italiana 5.1 (2012): 125-158. <http://eudml.org/doc/290933>.

@article{Artola2012,
abstract = {Hardy's inequality is used to give trace results, approximation and intermediate derivative properties for some weighted Banach spaces of generalized Sobolev type.},
author = {Artola, Michel},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {2},
number = {1},
pages = {125-158},
publisher = {Unione Matematica Italiana},
title = {A Class of Weighted Spaces},
url = {http://eudml.org/doc/290933},
volume = {5},
year = {2012},
}

TY - JOUR
AU - Artola, Michel
TI - A Class of Weighted Spaces
JO - Bollettino dell'Unione Matematica Italiana
DA - 2012/2//
PB - Unione Matematica Italiana
VL - 5
IS - 1
SP - 125
EP - 158
AB - Hardy's inequality is used to give trace results, approximation and intermediate derivative properties for some weighted Banach spaces of generalized Sobolev type.
LA - eng
UR - http://eudml.org/doc/290933
ER -

References

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  12. HARDY, G. H. - LITTLEWOOD, J. E. - POLYÁ, G., Inequalities, Cambridge press, London (1934). MR197653
  13. ILL'IN, V. P., Sur un théorème de Hardy-Littlewood, Trudy Mat. Inst. Steklova, 53 (1959) 128-144. MR120329
  14. KUFNER, A. - MALINGRADA, L. - PERSSON, L. E., The Hardy Inequality. About its history and some related results. Pilsen (2007). MR2351524
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