TWO-WEIGHT ESTIMATES FOR STRONG FRACTIONAL MAXIMAL FUNCTIONS AND POTENTIALS WITH MULTIPLE KERNELS

Title & Authors
TWO-WEIGHT ESTIMATES FOR STRONG FRACTIONAL MAXIMAL FUNCTIONS AND POTENTIALS WITH MULTIPLE KERNELS
Kokilashvili, Vakhtang; Meskhi, Alexander;

Abstract
In the paper two-weight inequalities of various type for strong fractional maximal functions and potentials with multiple kernels defined on $\small{\mathbb{R}^2}$ are established.
Keywords
strong fractional maximal functions;potentials with multiple kernels;two-weight inequality;trace inequality;
Language
English
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3.
A characterization of the two-weight inequality for Riesz potentials on cones of radially decreasing functions, Journal of Inequalities and Applications, 2014, 2014, 1, 383
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