Overview

In this work, Han and Sawyer extend Littlewood-Paley theory, Besov spaces, and Triebel-Lizorkin spaces to the general setting of a space of homogeneous type. For this purpose, they establish a suitable analogue of the Calderon reproducing formula and use it to extend classical results on atomic decomposition, interpolation, and T1 and Tb theorems. Some new results in the classical setting are also obtained: atomic decompositions with vanishing b-moment, and Littlewood-Paley characterizations of Besov and Triebel-Lizorkin spaces with only half the usual smoothness and cancellation conditions on the approximate identity.

Full Product Details

Author:   Y.S. Han ,  E.T. Sawyer
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Edition:   UK ed.
Volume:   No. 530
Dimensions:   Width: 18.00cm , Height: 0.80cm , Length: 25.50cm
Weight:   0.255kg
ISBN:  

9780821825921

ISBN 10:   0821825925
Pages:   126
Publication Date:   30 August 1994
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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