Weight Theory for Integral Transforms on Spaces of Homogeneous Type
Author:   Ioseb Genebashvili ,  G F Roach ,  Amiran Gogatishvili ,  Vakhtang Kokilashvil
Publisher:   Taylor & Francis Ltd
Volume:   92
ISBN:  

9780582302952


Pages:   410
Publication Date:   15 May 1997
Format:   Hardback
Availability:   Out of stock   Availability explained


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Weight Theory for Integral Transforms on Spaces of Homogeneous Type


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Overview

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.

Full Product Details

Author:   Ioseb Genebashvili ,  G F Roach ,  Amiran Gogatishvili ,  Vakhtang Kokilashvil
Publisher:   Taylor & Francis Ltd
Imprint:   CRC Press
Volume:   92
Dimensions:   Width: 15.20cm , Height: 2.30cm , Length: 22.90cm
Weight:   0.748kg
ISBN:  

9780582302952


ISBN 10:   0582302951
Pages:   410
Publication Date:   15 May 1997
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Out of Print
Availability:   Out of stock   Availability explained

Table of Contents

Basic ingredients; maximal functions in Lorentz spaces; two weight inequalities for integral transforms with a positive kernel; two weight inequalities of strong type for the fractional maximal function; maximal functions in phi(L) classes; weighted inequalities of weak type for the maximal function; one weight inequalities of strong type for the maximal function in phi(l) classes; weighted inequalities for singular integrals; two weight inequalities for singular integrals on homogenous groups; inequalities in weighted Morrey-Campanato spaces and BMO; two weight imbedding theorems; applications to some BVPs.

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