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Sobolev Spaces On Metric Measure Spaces

Analysis on metric spaces emerged in the 1990s as an independent research field providing a unified treatment of first-order analysis;

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Around the Research of Vladimir Maz'ya I

The fundamental contributions of Professor Maz'ya to the theory of function spaces and especially Sobolev spaces are well known and often;

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Lectures on Nonsmooth Differential Geometry

of Sobolev space on abstract metric measure spaces; normed modules, which constitute a convenient technical tool for the introduction of a robust;

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Lectures on Nonsmooth Differential Geometry

of Sobolev space on abstract metric measure spaces; normed modules, which constitute a convenient technical tool for the introduction of a robust;

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Lectures On Finsler Geometry

theorems on metrics and measures and their applications to the Levy concentration theory of regular metric measure spaces and Gromov's Hausdorff;

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Nonlinear Potential Theory and Weighted Sobolev Spaces

The book systematically develops the nonlinear potential theory connected with the weighted Sobolev spaces, where the weight usually;

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Sobolev Spaces

Sobolev Spaces presents an introduction to the theory of Sobolev Spaces and other related spaces of function, also to the imbedding;

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Measure and Probability

appendix covers many basic topics such as metric spaces, topological spaces and the Stone-Weierstrass theorem.;

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Measure and Probability

appendix covers many basic topics such as metric spaces, topological spaces and the Stone-Weierstrass theorem.;

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Generalized Metric Spaces and Mappings

appendices and a list of more than 400 references. The chapters are The origin of generalized metric spaces , Mappings on metric spaces and Classes;

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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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Differentiable Functions On Bad Domains

aspects of the theory of Sobolev spaces for domains with singularities are studied. We mainly focus on the so-called imbedding theorems, extension;

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Fuzzy Operator Theory in Mathematical Analysis

-Archimedean fuzzy metric spaces are presented. Surveys are provided on: Basic theory of fuzzy metric and normed spaces and its topology, fuzzy normed;

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Fuzzy Operator Theory in Mathematical Analysis

-Archimedean fuzzy metric spaces are presented. Surveys are provided on: Basic theory of fuzzy metric and normed spaces and its topology, fuzzy normed;

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Elements of the Theory of Functions and Functional Analysis

University and the University of Moscow.Reprinted here in one volume, the first part is devoted to metric and normal spaces. Beginning with a;

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Metric Spaces

spaces and continuity of functions defined on a metric space. Chapter seven is devoted to the metric fixed point theory. Banach contraction;

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An Illustrative Introduction to Modern Analysis

lucid contemporary account of the fundamental principles of Mathematical Analysis. The themes treated include Metric Spaces, General;

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An Illustrative Introduction to Modern Analysis

lucid contemporary account of the fundamental principles of Mathematical Analysis. The themes treated include Metric Spaces, General Topology;

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Metrics, Norms And Integrals

over two decades. It covers three main topics: metric and topological spaces, functional analysis, and the theory of the Lebesgue integral on;

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Metrics, Norms And Integrals

over two decades. It covers three main topics: metric and topological spaces, functional analysis, and the theory of the Lebesgue integral on;

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From Classical to Modern Analysis

limits, convergence of functions, and metric spaces. Chapters 8 through 12 explore topology in and continuity on metric spaces and introduce the;

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Recent Advances on Quasi-Metric Spaces

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General Parabolic Mixed Order Systems in Lp and Applications

problems. We show well-posedness in Lp-Lq-Sobolev spaces in time and space for the linear problems (i.e., maximal regularity) which is the key step;

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Analysis on Polish Spaces and an Introduction to Optimal Transportation

A large part of mathematical analysis, both pure and applied, takes place on Polish spaces: topological spaces whose topology can be given;

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Analysis on Polish Spaces and an Introduction to Optimal Transportation

A large part of mathematical analysis, both pure and applied, takes place on Polish spaces: topological spaces whose topology can be given;

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Nonlinear Analysis on Manifolds

This volume offers an expanded version of lectures given at the Courant Institute on the theory of Sobolev spaces on Riemannian manifolds;

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Geometric approach to evolution problems in metric spaces

---extending the classical results in Hilbert spaces. Third chapter contains a treatment of the non-symmetric Fokker-Planck equation as a flow on the;

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