Wandering subspaces and quasi-wandering subspaces in the Bergman space.
Wandering subspaces and the Beurling type theorem. II.
Wavelet Transform and Toeplitz-Hankel Type Operators.
Weighted Hankel operators and matrices
Weighted sub-Bergman Hilbert spaces
We consider Hilbert spaces which are counterparts of the de Branges-Rovnyak spaces in the context of the weighted Bergman spaces A2α, −1 < α < ∞. These spaces have already been studied in [8], [7], [5] and [1]. We extend some results from these papers
Weighted sub-Bergman Hilbert spaces in the unit disk
We study sub-Bergman Hilbert spaces in the weighted Bergman space . We generalize the results already obtained by Kehe Zhu for the standard Bergman space .
Wiener-Hopf integral operators with PC symbols on spaces with Muckenhoupt weight.
We describe the spectrum and the essential spectrum and give an index formula for Wiener-Hopf integral operators with piecewise continuous symbols on the space Lp(R+,ω) with a Muckenhoupt weight ω. Our main result says that the essential spectrum is a set resulting from the essential range of the symbol by joining the two endpoints of each jump by a certain sickle-shaped domain, whose shape is completely determined by the value of p and the behavior of the weight ω at the origin and at infinity.