Unitary equivalence of multiplication operators on the Bergman spaces of polygons
نویسندگان
چکیده
منابع مشابه
some properties of fuzzy hilbert spaces and norm of operators
in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...
15 صفحه اولComposition Operators and Multiplication Operators on Orlicz Spaces
This article has no abstract.
متن کاملCompact Operators on Bergman Spaces
We prove that a bounded operator S on La for p > 1 is compact if and only if the Berezin transform of S vanishes on the boundary of the unit disk if S satisfies some integrable conditions. Some estimates about the norm and essential norm of Toeplitz operators with symbols in BT are obtained.
متن کاملOperators on weighted Bergman spaces
Let ρ : (0, 1] → R+ be a weight function and let X be a complex Banach space. We denote by A1,ρ(D) the space of analytic functions in the disc D such that ∫ D |f(z)|ρ(1 − |z|)dA(z) < ∞ and by Blochρ(X) the space of analytic functions in the disc D with values in X such that sup|z|<1 1−|z| ρ(1−|z|)‖F ′(z)‖ < ∞. We prove that, under certain assumptions on the weight, the space of bounded operator...
متن کاملMultiplication Operators on the Bergman Space via Analytic Continuation
ABSTRACT. In this paper, using the group-like property of local inverses of a finite Blaschke product φ, we will show that the largest C-algebra in the commutant of the multiplication operator Mφ by φ on the Bergman space is finite dimensional, and its dimension equals the number of connected components of the Riemann surface of φ ◦ φ over the unit disk. If the order of the Blaschke product φ i...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Canadian Mathematical Bulletin
سال: 2021
ISSN: 0008-4395,1496-4287
DOI: 10.4153/s0008439521000151