Hardy Spaces on Ahlfors Regular Quasi Metric Spaces is popular PDF and ePub book, written by Ryan Alvarado in 2015-06-09, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Hardy Spaces on Ahlfors Regular Quasi Metric Spaces can be Read Online from any device for your convenience.
Hardy Spaces on Ahlfors Regular Quasi Metric Spaces Book PDF Summary
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 of Hardy spaces and formulates sharp versions of basic analytical tools for quasi-metric spaces, such as a Lebesgue differentiation theorem with minimal demands on the underlying measure, a maximally smooth approximation to the identity and a Calderon-Zygmund decomposition for distributions. These results are of independent interest. The second part establishes very general criteria guaranteeing that a linear operator acts continuously from a Hardy space into a topological vector space, emphasizing the role of the action of the operator on atoms. Applications include the solvability of the Dirichlet problem for elliptic systems in the upper-half space with boundary data from Hardy spaces. The tools established in the first part are then used to develop a sharp theory of Besov and Triebel-Lizorkin spaces in Ahlfors-regular quasi-metric spaces. The monograph is largely self-contained and is intended for mathematicians, graduate students and professionals with a mathematical background who are interested in the interplay between analysis and geometry.
Detail Book of Hardy Spaces on Ahlfors Regular Quasi Metric Spaces PDF
- Author : Ryan Alvarado
- Release : 09 June 2015
- Publisher : Springer
- ISBN : 9783319181325
- Genre : Mathematics
- Total Page : 491 pages
- Language : English
- PDF File Size : 20,7 Mb
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