Andere Kunden interessierten sich auch für
![Real-Variable Theory of Musielak-Orlicz Hardy Spaces]( "Real-Variable Theory of Musielak-Orlicz Hardy Spaces")
Real-Variable Theory of Musielak-Orlicz Hardy Spaces52,99 €![Convergence and Summability of Fourier Transforms and Hardy Spaces]( "Convergence and Summability of Fourier Transforms and Hardy Spaces")
Convergence and Summability of Fourier Transforms and Hardy Spaces88,99 €![From Ordinary to Partial Differential Equations]( "From Ordinary to Partial Differential Equations")
From Ordinary to Partial Differential Equations59,99 €![Geometric Methods in PDE¿s]( "Geometric Methods in PDE¿s")
Geometric Methods in PDE¿s74,99 €![Rigorous Time Slicing Approach to Feynman Path Integrals]( "Rigorous Time Slicing Approach to Feynman Path Integrals")
Rigorous Time Slicing Approach to Feynman Path Integrals88,99 €![Essential Real Analysis]( "Essential Real Analysis")
Essential Real Analysis26,99 €![Continuous Nowhere Differentiable Functions]( "Continuous Nowhere Differentiable Functions")
Continuous Nowhere Differentiable Functions95,99 €
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.