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Item Details
| Title:
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EXTRAPOLATION AND OPTIMAL DECOMPOSITIONS
WITH APPLICATIONS TO ANALYSIS |
| By: |
Mario Milman |
| Format: |
Paperback |
| List price:
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£22.99 |
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| ISBN 10: |
3540580816 |
| ISBN 13: |
9783540580812 |
| Publisher: |
SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG |
| Pub. date: |
28 July, 1994 |
| Edition: |
1994 ed. |
| Series: |
Lecture Notes in Mathematics 1580 |
| Pages: |
164 |
| Description: |
Develops a theory of extrapolation spaces with applications to classical and modern analysis. The monograph also considers the role that optimal decompositions play in limiting inequalities, including commutator estimates. Many of the results can be applied to other areas of analysis. |
| Synopsis: |
This book develops a theory of extrapolation spaces with applications to classical and modern analysis. Extrapolation theory aims to provide a general framework to study limiting estimates in analysis. The book also considers the role that optimal decompositions play in limiting inequalities incl. commutator estimates. Most of the results presented are new or have not appeared in book form before. A special feature of the book are the applications to other areas of analysis. Among them Sobolev imbedding theorems in different contexts including logarithmic Sobolev inequalities are obtained, commutator estimates are connected to the theory of comp. compactness, a connection with maximal regularity for abstract parabolic equations is shown, sharp estimates for maximal operators in classical Fourier analysis are derived. |
| Illustrations: |
biography |
| Publication: |
Germany |
| Imprint: |
Springer-Verlag Berlin and Heidelberg GmbH & Co. K |
| Returns: |
Returnable |
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