Harmonic Analysis, Partial Differential Equations, Complex Analysis, Banach Spaces, and Operator Theory (Volume 1)
Celebrating Cora Sadosky's life

Editors: María Cristina Pereyra, Stefania Marcantognini, Alexander M. Stokolos, Wilfredo Urbina



Contains survey/expository articles by leading experts

Features fully-refereed high quality papers exploring new results and trends in spectral theory, mathematical physics, geometric function theory, partial differential equations, as well as the novel field of chromatic derivatives

Examines the remarkable connections between harmonic analysis and operator theory

Covering a range of subjects from operator theory and classical harmonic analysis to Banach space theory, this book contains survey and expository articles by leading experts in their corresponding fields, and features fully-refereed, high-quality papers exploring new results and trends in spectral theory, mathematical physics, geometric function theory, and partial differential equations. 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. Another shared research interest of the contributors of this volume lies in the area of applied harmonic analysis, where a new notion called chromatic derivatives has recently been introduced in communication engineering.

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 mathematician 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.

Table of contents (16 chapters)

Front Matter

Cora
• Front Matter
• Cora Sadosky: Her Mathematics, Mentorship, and Professional Contributions
• Cora’s Scholarly Work: Publications According to MathSciNet
• Remembering Cora Sadosky

Harmonic and Complex Analysis, Banach and Metric Spaces, and Partial Differential Equations
• Front Matter
• Higher-Order Elliptic Equations in Non-Smooth Domains: a Partial Survey
• Victor Shapiro and the Theory of Uniqueness for Multiple Trigonometric Series
• A Last Conversation with Cora
• Fourier Multipliers of the Homogeneous Sobolev Space Ẇ 1,1
• A Note on Nonhomogenous Weighted Div-Curl Lemmas
• A Remark on Bilinear Square Functions
• Unique Continuation for the Elasticity System and a Counterexample for Second-Order Elliptic Systems
• Hardy Spaces of Holomorphic Functions for Domains in ℂ n with Minimal Smoothness
• On the Preservation of Eccentricities of Monge–Ampère Sections
• BMO: Oscillations, Self-Improvement, Gagliardo Coordinate Spaces, and Reverse Hardy Inequalities
• Besov Spaces, Symbolic Calculus, and Boundedness of Bilinear Pseudodifferential Operators
• Metric Characterizations of Some Classes of Banach Spaces
• On the IVP for the k-Generalized Benjamin–Ono Equation

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