| Title:
|
A potential theoretic inequality (English) |
| Author:
|
Ragusa, Maria Alessandra |
| Author:
|
Zamboni, Pietro |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
51 |
| Issue:
|
1 |
| Year:
|
2001 |
| Pages:
|
55-65 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper is proved a weighted inequality for Riesz potential similar to the classical one by D. Adams. Here the gain of integrability is not always algebraic, as in the classical case, but depends on the growth properties of a certain function measuring some local potential of the weight. (English) |
| Keyword:
|
Adams trace inequality |
| Keyword:
|
Stummel class |
| Keyword:
|
Morrey Spaces |
| MSC:
|
31B10 |
| MSC:
|
35B45 |
| MSC:
|
35B65 |
| idZBL:
|
Zbl 1079.35507 |
| idMR:
|
MR1814632 |
| . |
| Date available:
|
2009-09-24T10:39:47Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127626 |
| . |
| Reference:
|
[1] D. Adams: Traces of potentials arising from traslation invariant operators.Ann. Scuola Norm. Sup. Pisa 25 (1971), 203–217. MR 0287301 |
| Reference:
|
[2] L. Hedberg: On certain convolution inequalities.Proc. Amer. Math. Soc. 36 (1972), 505–510. MR 0312232, 10.1090/S0002-9939-1972-0312232-4 |
| Reference:
|
[3] M. Schechter: Spectra of Partial Differential Operators.North Holland, 1986. Zbl 0607.35005, MR 0869254 |
| Reference:
|
[4] G. V. Welland: Weighted norm inequalities for fractional integral.Proc. Amer. Math. Soc. 51 (1975), 143–148. MR 0369641, 10.1090/S0002-9939-1975-0369641-X |
| . |
