Marius Mitrea: 3 books
Groupoid Metrization Theory
With Applications to Analysis on Quasi-Metric Spaces and Functional Analysis
Language: English
Release Date: December 15, 2012
The topics in this research monograph are at the interface of several areas of mathematics such as harmonic analysis, functional analysis, analysis on spaces of homogeneous type, topology, and quasi-metric geometry. The presentation is self-contained with complete, detailed proofs, and a large number...
Multi-Layer Potentials and Boundary Problems
for Higher-Order Elliptic Systems in Lipschitz Domains
Language: English
Release Date: January 5, 2013
Many phenomena in engineering and mathematical physics can be modeled by means of boundary value problems for a certain elliptic differential operator in a given domain. When the differential operator under discussion is of second order a variety of tools are available for dealing with such problems,...
Hardy Spaces on Ahlfors-Regular Quasi Metric Spaces
A Sharp Theory
Language: English
Release Date: June 9, 2015
Systematically constructing an optimal theory, this monograph develops and explores several approaches to Hardy spaces in the setting of Alhlfors-regular quasi-metric spaces. The text is divided into two main parts, with the first part providing atomic, molecular, and grand maximal function characterizations...