Toeplitz operators with radial symbols on weighted holomorphic Orlicz space

Peer reviewe

Recent Trends in Toeplitz and Pseudodifferential Operators

The aim of the book is to present new results in operator theory and its applications. In particular, the book is devoted to operators with automorphic symbols, applications of the methods of modern operator theory and differential geometry to some problems of theory of elasticity, quantum mechanics, hyperbolic systems of partial differential equations with multiple characteristics, Laplace-Beltrami operators on manifolds with singular points. Moreover, the book comprises new results in the theory of Wiener-Hopf operators with oscillating symbols, large hermitian Toeplitz band matrices, commu

Mixed norm variable exponent Bergman space on the unit disc

We introduce and study the mixed norm variable order Bergman space A(q,p(.)) (D), 1 1 from inside the interval I = (0, 1). The situation is quite different in the cases p(1) 1, when A(2,p(.)) (D) = H-2(D) isometrically, and when this is not longer true