A potential theoretic inequality

Maria Alessandra Ragusa; Pietro Zamboni

Czechoslovak Mathematical Journal (2001)

  • Volume: 51, Issue: 1, page 55-65
  • ISSN: 0011-4642

Abstract

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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.

How to cite

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Ragusa, Maria Alessandra, and Zamboni, Pietro. "A potential theoretic inequality." Czechoslovak Mathematical Journal 51.1 (2001): 55-65. <http://eudml.org/doc/30614>.

@article{Ragusa2001,
abstract = {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.},
author = {Ragusa, Maria Alessandra, Zamboni, Pietro},
journal = {Czechoslovak Mathematical Journal},
keywords = {Adams trace inequality; Stummel class; Morrey Spaces; Adams trace inequality; Stummel class; Morrey spaces},
language = {eng},
number = {1},
pages = {55-65},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A potential theoretic inequality},
url = {http://eudml.org/doc/30614},
volume = {51},
year = {2001},
}

TY - JOUR
AU - Ragusa, Maria Alessandra
AU - Zamboni, Pietro
TI - A potential theoretic inequality
JO - Czechoslovak Mathematical Journal
PY - 2001
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 51
IS - 1
SP - 55
EP - 65
AB - 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.
LA - eng
KW - Adams trace inequality; Stummel class; Morrey Spaces; Adams trace inequality; Stummel class; Morrey spaces
UR - http://eudml.org/doc/30614
ER -

References

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  1. Traces of potentials arising from traslation invariant operators, Ann. Scuola Norm. Sup. Pisa 25 (1971), 203–217. (1971) MR0287301
  2. 10.1090/S0002-9939-1972-0312232-4, Proc. Amer. Math. Soc. 36 (1972), 505–510. (1972) MR0312232DOI10.1090/S0002-9939-1972-0312232-4
  3. Spectra of Partial Differential Operators, North Holland, 1986. (1986) Zbl0607.35005MR0869254
  4. 10.1090/S0002-9939-1975-0369641-X, Proc. Amer. Math. Soc. 51 (1975), 143–148. (1975) MR0369641DOI10.1090/S0002-9939-1975-0369641-X

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