The E. M. Stein lectures on hardy spaces / Steven G. Krantz.
2023
QA331
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Title
The E. M. Stein lectures on hardy spaces / Steven G. Krantz.
ISBN
9783031219528 (electronic bk.)
303121952X (electronic bk.)
9783031219511
3031219511
303121952X (electronic bk.)
9783031219511
3031219511
Published
Cham, Switzerland : Springer, 2023.
Language
English
Description
1 online resource (296 pages) : illustrations (black and white).
Item Number
10.1007/978-3-031-21952-8 doi
Call Number
QA331
Dewey Decimal Classification
515/.94
Summary
The book The E. M. Stein Lectures on Hardy Spaces is based on a graduate course on real variable Hardy spaces which was given by E.M. Stein at Princeton University in the academic year 1973-1974. Stein, along with C. Fefferman and G. Weiss, pioneered this subject area, removing the theory of Hardy spaces from its traditional dependence on complex variables, and to reveal its real-variable underpinnings. This book is based on Steven G. Krantzs notes from the course given by Stein. The text builds on Fefferman's theorem that BMO is the dual of the Hardy space. Using maximal functions, singular integrals, and related ideas, Stein offers many new characterizations of the Hardy spaces. The result is a rich tapestry of ideas that develops the theory of singular integrals to a new level. The final chapter describes the major developments since 1974. This monograph is of broad interest to graduate students and researchers in mathematical analysis. Prerequisites for the book include a solid understanding of real variable theory and complex variable theory. A basic knowledge of functional analysis would also be useful.
Bibliography, etc. Note
Includes bibliographical references and index.
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Access limited to authorized users.
Source of Description
Description based on print version record.
Series
Lecture notes in mathematics (Springer-Verlag) ; 2326.
Available in Other Form
E. M. Stein lectures on hardy spaces.
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Table of Contents
Introductory material
More on Hardy Spaces
Background on H^p Spaces
Hardy Spaces on D
Hardy Spaces on R^n
Developments Since 1974
Concluding Remarks
Bibliography
Index.
More on Hardy Spaces
Background on H^p Spaces
Hardy Spaces on D
Hardy Spaces on R^n
Developments Since 1974
Concluding Remarks
Bibliography
Index.