Weighted Morrey Spaces: Calder?n-Zygmund Theory and Boundary Problems

This monograph is a testament to the potency of the method of singular integrals of layer potential...
€325,41 EUR
€325,41 EUR
SKU: 9783111458168
Product Type: Books
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Author: Marcus Laurel
Format: Hardcover
Language: English
Subtotal: €325,41
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Weighted Morrey Spaces: Calder?n-Zygmund Theory and Boundary Problems by Laurel, Marcus

Weighted Morrey Spaces: Calder?n-Zygmund Theory and Boundary Problems

€325,41

Weighted Morrey Spaces: Calder?n-Zygmund Theory and Boundary Problems

€325,41
Author: Marcus Laurel
Format: Hardcover
Language: English

This monograph is a testament to the potency of the method of singular integrals of layer potential type in solving boundary value problems for weakly elliptic systems in the setting of Muckenhoupt-weighted Morrey spaces and their pre-duals.

A functional analytic framework for Muckenhoupt-weighted Morrey spaces in the rough setting of Ahlfors regular sets is built from the ground up and subsequently supports a Calder?n-Zygmund theory on this brand of Morrey space in the optimal geometric environment of uniformly rectifiable sets. A thorough duality theory for such Morrey spaces is also developed and ushers in a never-before-seen Calder?n-Zygmund theory for Muckenhoupt-weighted Block spaces. Both weighted Morrey and Block spaces are also considered through the lens of (generalized) Banach function spaces, and ultimately, a variety of boundary value problems are formulated and solved with boundary data arbitrarily prescribed from either scale of space.

The fairly self-contained nature of this monograph ensures that graduate students, researchers, and professionals in a variety of fields, e.g., function space theory, harmonic analysis, and PDE, will find this monograph a welcome and valuable addition to the mathematical literature.



Author: Marcus Laurel, Marius Mitrea
Publisher: de Gruyter
Published: 09/03/2024
Pages: 432
Binding Type: Hardcover
Weight: 1.95lbs
Size: 9.61h x 6.69w x 0.94d
ISBN: 9783111458168

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