Weight Theory for Integral Transforms on Spaces of Homogeneous Type

1st Edition

Ioseb Genebashvili, Amiran Gogatishvili, Vakhtang Kokilashvil, Miroslav Krbec

Chapman and Hall/CRC
Published May 15, 1997
Reference - 410 Pages
ISBN 9780582302952 - CAT# LM3029
Series: Monographs and Surveys in Pure and Applied Mathematics

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Summary

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.

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