The E. M. Stein Lectures on Hardy Spaces / Lecture Notes in Mathematics Bd.2326 (PDF)

Name: The E. M. Stein Lectures on Hardy Spaces / Lecture Notes in Mathematics Bd.2326
Brand: Springer International Publishing
SKU: 146997793
Price: 24.60 EUR
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(Sprache: Englisch)

Autor: Steven G. Krantz

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The E. M. Stein Lectures on Hardy Spaces / Lecture Notes in Mathematics Bd.2326, Steven G. Krantz

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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. Krantz's 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. Prerequisitesfor the book include a solid understanding of real variable theory and complex variable theory. A basic knowledge of functional analysis would also be useful.

Autoren-Porträt von Steven G. Krantz

Steven G. Krantz was born in San Francisco, California in 1951. He received the B.A. degree from the University of California at Santa Cruz in 1971 and the Ph.D. from Princeton University in 1974. Krantz has taught at UCLA, Princeton University, Penn State, and Washington University in St. Louis. He was Chair of the latter department for five years. Krantz has had 9 Masters students and 20 Ph.D. students. He has written more than 135 books and more than 270 scholarly papers. He edits 5 journals, and is Managing Editor of 3. He is the founding editorof the Journal of Geometric Analysis. He is the creator, founder, and editor of the new journal Complex Analysis and its Synergies. Krantz has won the Chauvenet Prize, the Beckenbach Book Award, and the Kemper Prize. He was recently named to the Sequoia High School Hall of Fame. He is an AMS Fellow.

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Bibliographische Angaben

Autor: Steven G. Krantz
2023, 1st ed. 2023, 253 Seiten, Englisch
Verlag: Springer International Publishing
ISBN-10: 303121952X
ISBN-13: 9783031219528
Erscheinungsdatum: 09.02.2023

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