Harmonic Analysis, Partial Differential Equations, Banach Spaces, and Operator Theory (Volume 2)

The book "Harmonic Analysis, Partial Differential Equations, Banach Spaces, and Operator Theory (Volume 2)" is the second volume of a two-part series that addresses a variety of topics in operator theory, classical harmonic analysis, and Banach space theory. It contains a collection of high-quality, peer-reviewed articles that explore new results and trends in areas such as weighted norm inequalities, Schur-Agler class functions, complex analysis, dynamical systems, and dyadic harmonic analysis. This work is aimed at graduate students and researchers in the field of analysis and provides inspiring insights into the remarkable connections between harmonic analysis and operator theory. Additionally, specific topics such as the two-weight problem for the Hilbert transform and the Clark model approach for non-singular measures are discussed, including applications for studying rank-one perturbations. The content is based on the 13th New Mexico Analysis Seminar held in April 2014 and honors the memory of the prominent mathematician Cora Sadosky, who made significant contributions to harmonic analysis.