The E. M. Stein lectures on hardy spaces / Steven G. Krantz.
Krantz, Steven G. (Steven George), 1951- author.
2023
QA331
Available Online

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Title The E. M. Stein lectures on hardy spaces / Steven G. Krantz.
Author Krantz, Steven G. (Steven George), 1951- author.
ISBN 9783031219528 (electronic bk.)
303121952X (electronic bk.)
9783031219511
3031219511
DOI https://doi.org/10.1007/978-3-031-21952-8
Published Cham, Switzerland : Springer, 2023.
Language English
Description 1 online resource (296 pages) : illustrations (black and white).
Other Standard Identifiers 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.
Access Note 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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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.

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