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

This book is the second of a two volume series.Covering a range of subjects from operator theory and classical harmonic analysisto Banach space theory, this bookfeatures fully-refereed, high-quality papersexploring new results and trends inweighted 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 emphasizethe remarkable connections between harmonic analysis and operator theory.A survey ofthe two weight problem for the Hilbert transform and an expository articleon the Clark model to the case of non-singular measuresand 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 severalspecial 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.