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Preface for Volume 1; Contents of Volume 1; Acknowledgments; Contents; Part I Cora; Cora Sadosky: Her Mathematics, Mentorship, and Professional Contributions; Introduction; Some Brief Bibliographical Notes; Research Areas and Collaborators; Some Samples of Cora Sadosky's Mathematics; Parabolic Singular Integral Operators; The Helson-Szegö Theorem; Multiparameter Analysis; Cora Sadosky's Impact on the Profession; Some Final Memories; References; Cora's Scholarly Work: Publications According to MathSciNet; Cora's Bibliography According to MathSciNET; Remembering Cora Sadosky
In Memory of Cora SadoskySteven Krantz, Washington University in St. Louis; Cora; Maria Dolores (Loló) Morán; A Statement About Cora Sadosky; Michael Wilson's Remembrance; Part II Harmonic and Complex Analysis, Banach and Metric Spaces, and Partial Differential Equations; Higher-Order Elliptic Equations in Non-Smooth Domains:a Partial Survey; Introduction; Higher-Order Operators: Divergence Form and Composition Form; Boundedness and Continuity of Derivatives of Solutions; Miranda-Agmon Maximum Principle and Related Geometric restrictions on the boundary
Sharp Pointwise Estimates on the Derivatives of Solutions in Arbitrary DomainsGreen Function Estimates; The Wiener Test: Continuity of Solutions; The Higher-Order Wiener Test: Continuity of Derivatives of Polyharmonic Functions; Boundary Value Problems with Constant Coefficients; The Dirichlet Problem: Definitions, Layer Potentials, and Some Well-Posedness Results; The Lp-Dirichlet Problem: The Summary of Known Results on Well-Posedness and Ill-Posedness; The Regularity Problem and the Lp-Dirichlet Problem; Higher-Order Elliptic Systems; The Area Integral
The Maximum Principle in Lipschitz DomainsBiharmonic Functions in Convex Domains; The Neumann Problem for the Biharmonic Equation; Inhomogeneous Problems for the Biharmonic Equation; Boundary Value Problems with Variable Coefficients; The Kato Problem and the Riesz Transforms; The Dirichlet Problem for Operators in Divergence Form; The Dirichlet Problem for Operators in Composition Form; The Fundamental Solution; Formulation of Neumann Boundary Data; Open Questions and Preliminary Results; References; Victor Shapiro and the Theory of Uniqueness for Multiple Trigonometric Series; Dedication
Two Theorems and a ConjectureHistory of the Two Theorems; The Spherical Uniqueness Theorem, Theorem 2.2; The Unrestricted Rectangular Uniqueness Theorem, Theorem 2.3; The Conjecture; References; A Last Conversation with Cora; Fourier Multipliers of the Homogeneous Sobolev Space 1, 1; Introduction; First Properties of Fourier Multipliers of 1, 1(Rd); The Restriction Theorem; Traces of Fourier Multipliers on Subspaces of Rd; Traces of Fourier Multipliers on Other Affine Subspaces of Rd; Final Remark; References; A Note on Nonhomogenous Weighted Div-Curl Lemmas; Introduction and Background
In Memory of Cora SadoskySteven Krantz, Washington University in St. Louis; Cora; Maria Dolores (Loló) Morán; A Statement About Cora Sadosky; Michael Wilson's Remembrance; Part II Harmonic and Complex Analysis, Banach and Metric Spaces, and Partial Differential Equations; Higher-Order Elliptic Equations in Non-Smooth Domains:a Partial Survey; Introduction; Higher-Order Operators: Divergence Form and Composition Form; Boundedness and Continuity of Derivatives of Solutions; Miranda-Agmon Maximum Principle and Related Geometric restrictions on the boundary
Sharp Pointwise Estimates on the Derivatives of Solutions in Arbitrary DomainsGreen Function Estimates; The Wiener Test: Continuity of Solutions; The Higher-Order Wiener Test: Continuity of Derivatives of Polyharmonic Functions; Boundary Value Problems with Constant Coefficients; The Dirichlet Problem: Definitions, Layer Potentials, and Some Well-Posedness Results; The Lp-Dirichlet Problem: The Summary of Known Results on Well-Posedness and Ill-Posedness; The Regularity Problem and the Lp-Dirichlet Problem; Higher-Order Elliptic Systems; The Area Integral
The Maximum Principle in Lipschitz DomainsBiharmonic Functions in Convex Domains; The Neumann Problem for the Biharmonic Equation; Inhomogeneous Problems for the Biharmonic Equation; Boundary Value Problems with Variable Coefficients; The Kato Problem and the Riesz Transforms; The Dirichlet Problem for Operators in Divergence Form; The Dirichlet Problem for Operators in Composition Form; The Fundamental Solution; Formulation of Neumann Boundary Data; Open Questions and Preliminary Results; References; Victor Shapiro and the Theory of Uniqueness for Multiple Trigonometric Series; Dedication
Two Theorems and a ConjectureHistory of the Two Theorems; The Spherical Uniqueness Theorem, Theorem 2.2; The Unrestricted Rectangular Uniqueness Theorem, Theorem 2.3; The Conjecture; References; A Last Conversation with Cora; Fourier Multipliers of the Homogeneous Sobolev Space 1, 1; Introduction; First Properties of Fourier Multipliers of 1, 1(Rd); The Restriction Theorem; Traces of Fourier Multipliers on Subspaces of Rd; Traces of Fourier Multipliers on Other Affine Subspaces of Rd; Final Remark; References; A Note on Nonhomogenous Weighted Div-Curl Lemmas; Introduction and Background