Description

Book Synopsis

Introduction and Main Results.- Elements of Functional Analysis.- Elements of Measure Theory and Lp Spaces.- Elements of Real Analysis.- Harmonic Functions and Poisson Integrals.- Besov Spaces via Poisson Integrals.- Sobolev and Besov Spaces.- Maximum Principles in Sobolev Spaces.- Elements of Singular Integrals.- CalderonZygmund Kernels and Their Commutators.- CalderonZygmund Variable Kernels and Their Commutators.- Dirichlet Problems in Sobolev Spaces.- CalderonZygmund Kernels and Interior Estimates.- CalderonZygmund Kernels and Boundary Estimates.- Unique Solvability of the Homogeneous Dirichlet Problem.- Regular Oblique Derivative Problems in Sobolev Spaces.- Oblique Derivative Boundary Conditions.- Boundary Representation Formula for Solutions.- Boundary Regularity of Solutions.- Proof of Theorems 16.1 and 16.2.- Markov Processes and Feller Semigroups.- Feller Semigroups with Dirichlet Condition.- Feller Semigroups with an Oblique Derivative Condition.- Feller Semigroups and Bo

Real Analysis Methods for Markov Processes

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    A Hardback by Kazuaki Taira

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      Publisher: Springer
      Publication Date: 9/3/2024
      ISBN13: 9789819736584, 978-9819736584
      ISBN10: 9819736587
      Also in:
      Mathematics Functional analysis and transforms

      Description

      Book Synopsis

      Introduction and Main Results.- Elements of Functional Analysis.- Elements of Measure Theory and Lp Spaces.- Elements of Real Analysis.- Harmonic Functions and Poisson Integrals.- Besov Spaces via Poisson Integrals.- Sobolev and Besov Spaces.- Maximum Principles in Sobolev Spaces.- Elements of Singular Integrals.- CalderonZygmund Kernels and Their Commutators.- CalderonZygmund Variable Kernels and Their Commutators.- Dirichlet Problems in Sobolev Spaces.- CalderonZygmund Kernels and Interior Estimates.- CalderonZygmund Kernels and Boundary Estimates.- Unique Solvability of the Homogeneous Dirichlet Problem.- Regular Oblique Derivative Problems in Sobolev Spaces.- Oblique Derivative Boundary Conditions.- Boundary Representation Formula for Solutions.- Boundary Regularity of Solutions.- Proof of Theorems 16.1 and 16.2.- Markov Processes and Feller Semigroups.- Feller Semigroups with Dirichlet Condition.- Feller Semigroups with an Oblique Derivative Condition.- Feller Semigroups and Bo

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