On Limiting Case of the Stein-Weiss Type Inequality for the B-Riesz Potentials

Guliyev, Emin. "On Limiting Case of the Stein-Weiss Type Inequality for the B-Riesz Potentials." Fractional Calculus and Applied Analysis 12.1 (2009): 39-46. <http://eudml.org/doc/11314>.

@article{Guliyev2009,
abstract = {Mathematics Subject Classification: Primary 42B20, 42B25, 42B35In this paper we study the Riesz potentials (B-Riesz potentials) generated by the Laplace-Bessel differential operator ∆B [...]. We establish an inequality of Stein-Weiss type for the B-Riesz potentials in the limiting case, and obtain the boundedness of the B-Riesz potential operator from the space Lp,|x|β,γ to BMO|x|−λ,γ.* Emin Guliyev’s research partially supported by the grant of INTAS YS Collaborative Call with Azerbaijan 2005 (INTAS Ref. Nr 05-113-4436).},
author = {Guliyev, Emin},
journal = {Fractional Calculus and Applied Analysis},
keywords = {42B20; 42B25; 42B35},
language = {eng},
number = {1},
pages = {39-46},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {On Limiting Case of the Stein-Weiss Type Inequality for the B-Riesz Potentials},
url = {http://eudml.org/doc/11314},
volume = {12},
year = {2009},
}

TY - JOUR
AU - Guliyev, Emin
TI - On Limiting Case of the Stein-Weiss Type Inequality for the B-Riesz Potentials
JO - Fractional Calculus and Applied Analysis
PY - 2009
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 12
IS - 1
SP - 39
EP - 46
AB - Mathematics Subject Classification: Primary 42B20, 42B25, 42B35In this paper we study the Riesz potentials (B-Riesz potentials) generated by the Laplace-Bessel differential operator ∆B [...]. We establish an inequality of Stein-Weiss type for the B-Riesz potentials in the limiting case, and obtain the boundedness of the B-Riesz potential operator from the space Lp,|x|β,γ to BMO|x|−λ,γ.* Emin Guliyev’s research partially supported by the grant of INTAS YS Collaborative Call with Azerbaijan 2005 (INTAS Ref. Nr 05-113-4436).
LA - eng
KW - 42B20; 42B25; 42B35
UR - http://eudml.org/doc/11314
ER -