Harmonic Analysis, Partial Differential Equations, Banach Spaces, and Operator Theory (Volume 2): Celebrating Cora Sadosky's Life (Association for Women in Mathematics Series Book 5)

This book is the second of a two volume series. Covering a range of subjects from operator theory and classical harmonic analysis to Banach space theory, this book features fully-refereed, high-quality papers exploring new results and trends in weighted norm inequalities, Schur-Agler class functions, complex analysis, dynamical systems, and dyadic harmonic analysis. Graduate students and researchers in analysis will find inspiration in the articles collected in this volume, which emphasize the remarkable connections between harmonic analysis and operator theory. A survey of the two weight problem for the Hilbert transform and an expository article on the Clark model to the case of non-singular measures and applications to the study of rank-one perturbations are included. The material for this volume is based on the 13th New Mexico Analysis Seminar held at the University of New Mexico, April 3-4, 2014 and on several special sections of the Western Spring Sectional Meeting at the University of New Mexico, April 4-6,2014. During the event, participants honored the memory of Cora Sadosky―a great mathematician who recently passed away and who made significant contributions to the field of harmonic analysis. Cora was an exceptional scientist and human being. She was a world expert in harmonic analysis and operator theory, publishing over fifty-five research papers and authoring a major textbook in the field. Participants of the conference include new and senior researchers, recent doctorates as well as leading experts in the area. Front Matter....Pages i-xx Front Matter....Pages 1-1 Remembering Corita.......Pages 3-4 Remembering Cora....Pages 5-7 Front Matter....Pages 9-9 The Two Weight Inequality for the Hilbert Transform: A Primer....Pages 11-84 Singular Integrals, Rank One Perturbations and Clark Model in General Situation....Pages 85-132 Front Matter....Pages 133-133 On Two Weight Estimates for Dyadic Operators....Pages 135-169 Potential Operators with Mixed Homogeneity....Pages 171-181 Elementary Proofs of One Weight Norm Inequalities for Fractional Integral Operators and Commutators....Pages 183-198 Finding Cycles in Nonlinear Autonomous Discrete Dynamical Systems....Pages 199-237 Smooth Analytic Functions and Model Subspaces....Pages 239-266 Rational Inner Functions on a Square-Matrix Polyball....Pages 267-277 A Note on Local Hölder Continuity of Weighted Tauberian Functions....Pages 279-286 Three Observations on Commutators of Singular Integral Operators with BMO Functions....Pages 287-304 A Two Weight Fractional Singular Integral Theorem with Side Conditions, Energy and k-Energy Dispersed....Pages 305-372 A Partition Function Connected with the Göllnitz–Gordon Identities....Pages 373-399 On Toeplitz Operators with Quasi-radial and Pseudo-homogeneous Symbols....Pages 401-417 A Bump Theorem for Weighted Embeddings and Maximal Operator: The Bellman Function Approach....Pages 419-433 The Necessity of A ∞ for Translation and Scale Invariant Almost-Orthogonality....Pages 435-460