Monographs and Surveys in Pure and Applied Mathematics

1 primary work

Weight Theory for Integral Transforms on Spaces of Homogeneous Type

by Ioseb Genebashvili, Amiran Gogatishvili, Vakhtang Kokilashvil, and Miroslav Krbec

Published 15 May 1997

This volume gives an account of the current state of weight theory for integral operators, such as maximal functions, Riesz potential, singular integrals and their generalization in Lorentz and Orlicz spaces. Starting with the crucial concept of a space of homogeneous type, it continues with general criteria for the boundedness of the integral operators considered, then address special settings and applications to classical operators in Euclidean spaces.