Sobolev-Morrey Type Inequality for Riesz Potentials, Associated with the Laplace-Bessel Differential Operator

Guliyev, Vagif, and Hasanov, Javanshir. "Sobolev-Morrey Type Inequality for Riesz Potentials, Associated with the Laplace-Bessel Differential Operator." Fractional Calculus and Applied Analysis 9.1 (2006): 17-32. <http://eudml.org/doc/11306>.

@article{Guliyev2006,
abstract = {2000 Mathematics Subject Classification: 42B20, 42B25, 42B35We consider the generalized shift operator, generated by the Laplace- Bessel differential operator [...] The Bn -maximal functions and the Bn - Riesz potentials, generated by the Laplace-Bessel differential operator ∆Bn are investigated. We study the Bn - Riesz potentials in the Bn - Morrey spaces and Bn - BMO spaces. An inequality of Sobolev - Morrey type is established for the Bn - Riesz potentials.* This paper has been partially supported by Grant of Azerbaijan-U.S. Bilateral Grants Program (Project ANSF Award / 3102).},
author = {Guliyev, Vagif, Hasanov, Javanshir},
journal = {Fractional Calculus and Applied Analysis},
keywords = {42B20; 42B25; 42B35},
language = {eng},
number = {1},
pages = {17-32},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Sobolev-Morrey Type Inequality for Riesz Potentials, Associated with the Laplace-Bessel Differential Operator},
url = {http://eudml.org/doc/11306},
volume = {9},
year = {2006},
}

TY - JOUR
AU - Guliyev, Vagif
AU - Hasanov, Javanshir
TI - Sobolev-Morrey Type Inequality for Riesz Potentials, Associated with the Laplace-Bessel Differential Operator
JO - Fractional Calculus and Applied Analysis
PY - 2006
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 9
IS - 1
SP - 17
EP - 32
AB - 2000 Mathematics Subject Classification: 42B20, 42B25, 42B35We consider the generalized shift operator, generated by the Laplace- Bessel differential operator [...] The Bn -maximal functions and the Bn - Riesz potentials, generated by the Laplace-Bessel differential operator ∆Bn are investigated. We study the Bn - Riesz potentials in the Bn - Morrey spaces and Bn - BMO spaces. An inequality of Sobolev - Morrey type is established for the Bn - Riesz potentials.* This paper has been partially supported by Grant of Azerbaijan-U.S. Bilateral Grants Program (Project ANSF Award / 3102).
LA - eng
KW - 42B20; 42B25; 42B35
UR - http://eudml.org/doc/11306
ER -