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The Dirichlet Space and Related Function Spaces

related spaces starting with classical results and including some quite recent achievements like Dirichlet-type spaces of functions in several;

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Primer On The Dirichlet Space

The Dirichlet space is one of the three fundamental Hilbert spaces of holomorphic functions on the unit disk. It boasts a rich and;

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Diophantine Approximation and Dirichlet Series

characterization by Gordon and Hedenmalm. The book is devoted to Diophantine approximation, the analytic theory of Dirichlet series and their composition;

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Diophantine Approximation and Dirichlet Series

characterization by Gordon and Hedenmalm. The book is devoted to Diophantine approximation, the analytic theory of Dirichlet series and their composition;

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Hyperfinite Dirichlet Forms and Stochastic Processes

in spirit to the discrete classical formulation of Dirichlet space theory by Beurling and Deny (1958). The discrete infinitesimal setup makes it;

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Diophantine Approximation and Dirichlet Series

extremal examples, including sharp forms of the Bohnenblust-Hille theorem. Chapter six deals with Hardy-Dirichlet spaces, which are new and useful;

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The Dirichlet Problem for Elliptic-Hyperbolic Equations of Keldysh Type

. Specific applications to plasma physics, optics, and analysis on projective spaces are discussed. (From the preface);

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Theory of Besov Spaces

-differential operators, the generator of semi-group and spaces on domains, and the Kato problem. Various function spaces are introduced to overcome the;

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Pointwise Variable Anisotropic Function Spaces on n

Spaces of homogeneous type were introduced as a generalization to the Euclidean space and serve as a suffi cient setting in which one can;

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Composition Operators on Spaces of Analytic Functions

The study of composition operators lies at the interface of analytic function theory and operator theory. Composition Operators on Spaces;

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Pseudo Differential Operators & Markov Processes

handles two topics in detail: Fourier analysis, with emphasis on positivity and also on some function spaces and multiplier theorems; and one;

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Isometries on Banach Spaces

satisfying y(t) = h(t)x(p(t)), where p is a homeomorphism and |h| is identically one. Isometries on Banach Spaces: Function Spaces is the first;

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Isometries on Banach Spaces

satisfying y(t) = h(t)x(p(t)), where p is a homeomorphism and |h| is identically one. Isometries on Banach Spaces: Function Spaces is the first;

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Symmetric Markov Processes, Time Change, and Boundary Theory (LMS-35)

that of regular Dirichlet forms, emphasizing the role of extended Dirichlet spaces and the rich interplay between the probabilistic and;

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Advanced Concepts and Applications of Function Spaces

equation based problem solving, etc. The main emphasis of this book is on the applications of functional spaces and advanced mathematical;

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Functional Analysis

allows grasping the main ideas more rapidly. Other important Banach spaces arising from function spaces and sequence spaces are also treated.;

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Functional Analysis

allows grasping the main ideas more rapidly. Other important Banach spaces arising from function spaces and sequence spaces are also treated.;

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Function Theory and $ell ^p$ Spaces

sets, extremal functions, multipliers, operator theory) of the associated spaces $ell^{p}_{A}$ of analytic functions whose Taylor coefficients;

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Geometry and Analysis of Metric Spaces via Weighted Partitions

The aim of these lecture notes is to propose a systematic framework for geometry and analysis on metric spaces. The central notion is a;

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Handbook of Analytic Operator Theory

Handbook of Analytic Operator Theory thoroughly covers the subject of holomorphic function spaces and operators acting on them. The spaces;

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Weyl Group Multiple Dirichlet Series

Weyl group multiple Dirichlet series are generalizations of the Riemann zeta function. Like the Riemann zeta function, they are Dirichlet;

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Descriptive Theory of Sets and Functions. Functional Analysis in Semi-ordered Spaces

This book presents articles of L.V. Kantorovich on the descriptive theory of sets and function and on functional analysis in semi-ordered;

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Holomorphic Spaces

students will encounter Hardy spaces, Bergman spaces, Dirichlet spaces, Hankel and Toeplitz operators, and a sampling of the role these objects;

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Boundary Properties & Applications of the Differentiated Poisson Integral for Different Domains

definite sense, improvable. Relying on the obtained results, the Dirichlet problem is solved for a sphere and a half-space (of a any finite;

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Statistics Based on Dirichlet Processes and Related Topics

This book focuses on the properties associated with the Dirichlet process, describing its use a priori for nonparametric inference and the;

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Car Tourism

presents cars and the spaces related to them as tourist assets (sites, events) and as tourist products that satisfy tourists' needs. Moreover, it;

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Pre-Riesz Spaces

operators on pre-Riesz spaces and related notions. The monograph presents recent results as well as being an accessible introduction to the;

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