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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2009; 46(3): 523-550

Printed May 1, 2009

https://doi.org/10.4134/JKMS.2009.46.3.523

Copyright © The Korean Mathematical Society.

Two--weight estimates for strong fractional maximal functions and potentials with multiple kernels

Vakhtang Kokilashvili and Alexander Meskhi

A. Razmadze Mathematical Institute

Abstract

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In the paper two--weight inequalities of various type for strong fractional maximal functions and potentials with multiple kernels defined on ${\Bbb{R}}^2$ are established.

Keywords: strong fractional maximal functions, potentials with multiple kernels, two-weight inequality, trace inequality

MSC numbers: Primary 47G10, 26A33; Secondary 31B15, 42B25, 46E30

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