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De Gruyter Weighted Morrey Spaces - Calderon-Zygmund Theory

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Description

This monograph from De Gruyter explores the application of singular integrals of layer potential type to solve boundary value problems. It focuses on weakly elliptic systems within the context of Muckenhoupt-weighted Morrey spaces and their pre-duals. The text establishes a functional analytic framework for these spaces in the rough setting of Ahlfors regular sets. It further extends this to support a Calderon-Zygmund theory on uniformly rectifiable sets, providing an optimal geometric environment for mathematical analysis. Additionally, the work develops a thorough duality theory for these specific Morrey spaces, making it a significant resource for researchers in mathematical analysis and differential equations.

Key Features

This De Gruyter monograph addresses boundary value problems for weakly elliptic systems.

The text builds a functional analytic framework for Muckenhoupt-weighted Morrey spaces in Ahlfors regular sets.

It provides a Calderon-Zygmund theory within the optimal geometric environment of uniformly rectifiable sets.

The work includes a thorough duality theory developed specifically for these Morrey spaces.

The content focuses on the method of singular integrals of layer potential type.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
03 September 2024
Listed Since
08 May 2024

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