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

Maria Cristina Pereyra is a professor in the Department of Mathematics and Statistics at the University of New Mexico. Her area of interest is Harmonic Analysis, specifically in dyadic harmonic analysis and weighted theory. Stefania Marcantognini is a professor in the Department of Mathematics at the Venezuelan Institute for Scientific Research. Alexander M. Stokolos is an associate professor in the Department of Mathematical Sciences at Georgia Southern University. Wilfredo Urbina Romero is an associate professor in the Department of Mathematics at Roosevelt University. 

Photo (Caption: Photography by Margaret Randall, February 2, 2004).- Preface.- Acknowledgments.- Contents of Volume 1.- Part I: Cora.- Remembering Corita... (Margaret Randall).- Remembering Cora (Neil Hindman).- Photo at MSRI (Caption: Dinner with MSRI's Human Resources Advisory Committee, November 10, 2004, at the house of Director David Eisenbud. Photo by Monika Eisenbud.).- Part II: Survey Articles.- The two-weight inequality for the Hilbert transform: a primer (Michael Lacey).- Singular integrals, rank one perturbations, and Clark model in general situation (Constance Liaw).- Part III: Research Articles.- On two weight estimates for dyadic operators (Oleksandra Beznosova, Daewon Chung, Jean Moraes, and Maria Cristina Pereyra).- Potential operators with mixed homogeneity (Calixto Calderon and Wilfredo Urbina).- Elementary proofs of one weight norm inequalities for fractional integral operators and commutators (David Cruz-Uribe).- Finding cycles in nonlinear autonomous discrete dynamical systems (Dmitriy Dmitrishin, Anna Khamitova, Alex Stokolos, Michai Tohaneanu).- Smooth analytic functions and model subspaces (Konstantin Dyakonov).- Rational inner functions on a square-matrix polyball (Annatoli Grinshpam, Dmitry Kaliuzhnyi-Verbovetskyi, Victor Vinnikov, and Hugo Woerdeman).- A note on local Holder continuity of weighted Tauberian functions (Paul Hagelstein and Ioanis Parissis).- Three observations on commutators of singular integral operators with BMO functions (Carlos Perez and Ismael Rivera).- Three observations on commutators of singular integral operators with BMO functions (Erik Sawyer, Chun-Yen Shen, and Ignacio Uriarte-Tuero).- A Partition Function Connected with the Gollnitz-Gordon Identities (Nicolas A. Smoot).- On Toeplitz operators with quasi-radial and pseudohomogeneous symbols (Nikolai Vassilevskii).- A bump theorem for weighted embedding and maximal operator: the Bellman function approach (Alexander Volberg).- The necessity of A1 for translation and scale invariant almost-orthogonality (Mike Wilson).