A potential theoretic inequality
Czechoslovak Mathematical Journal, Tome 51 (2001) no. 1, pp. 55-65
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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.
Classification :
31B10, 35B45, 35B65
Keywords: Adams trace inequality; Stummel class; Morrey Spaces
Keywords: Adams trace inequality; Stummel class; Morrey Spaces
@article{CMJ_2001__51_1_a5,
author = {Ragusa, Maria Alessandra and Zamboni, Pietro},
title = {A potential theoretic inequality},
journal = {Czechoslovak Mathematical Journal},
pages = {55--65},
publisher = {mathdoc},
volume = {51},
number = {1},
year = {2001},
mrnumber = {1814632},
zbl = {1079.35507},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2001__51_1_a5/}
}
Ragusa, Maria Alessandra; Zamboni, Pietro. A potential theoretic inequality. Czechoslovak Mathematical Journal, Tome 51 (2001) no. 1, pp. 55-65. http://geodesic.mathdoc.fr/item/CMJ_2001__51_1_a5/