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Square Roots of Elliptic Systems in Locally Uniform Domains

Square Roots of Elliptic Systems in Locally Uniform Domains - Operator Theory

Hardback (10 Sep 2024)

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Publisher's Synopsis

This book establishes a comprehensive theory to treat square roots of elliptic systems incorporating mixed boundary conditions under minimal geometric assumptions. To lay the groundwork, the text begins by introducing the geometry of locally uniform domains and establishes theory for function spaces on locally uniform domains, including interpolation theory and extension operators. In these introductory parts, fundamental knowledge on function spaces, interpolation theory and geometric measure theory and fractional dimensions are recalled, making the main content of the book easier to comprehend. The centerpiece of the book is the solution to Kato's square root problem on locally uniform domains. The Kato result is complemented by corresponding Lᵖ bounds in natural intervals of integrability parameters.
This book will be useful to researchers in harmonic analysis, functional analysis and related areas.

Book information

ISBN: 9783031637674
Publisher: Springer International Publishing
Imprint: Birkhauser
Pub date:
DEWEY: 515.3533
DEWEY edition: 23
Language: English
Number of pages: 188
Weight: 431g
Height: 235mm
Width: 155mm
Spine width: 18mm