Closed Range Type Properties of Toeplitz Operators on the Bergman Space and the Berezin Transform
Sign Up to like & getrecommendations! Published in 2019 at "Complex Analysis and Operator Theory"
DOI: 10.1007/s11785-019-00949-4
Abstract: We characterize the multiplication operators with closed range on the Bergman space in terms of the Berezin transform, and apply this characterization to finite products of interpolating Blaschke products. We give some necessary and some… read more here.
Keywords: closed range; bergman space; toeplitz operators; berezin transform ... See more keywords
Composition operators on the weighted Bloch space and the weighted Dirichlet spaces, and BMOA with closed range
Sign Up to like & getrecommendations! Published in 2018 at "Complex Variables and Elliptic Equations"
DOI: 10.1080/17476933.2017.1345887
Abstract: Abstract We study the composition operators with closed range on the weighted Bloch spaces, the weighted Dirichlet spaces, the Bergman spaces and the Hardy space, the space BMOA. In particular, we study the relationship between… read more here.
Keywords: range; dirichlet spaces; closed range; weighted bloch ... See more keywords
A general version of Neubauer’s lemma and closed range almost closed operators
Sign Up to like & getrecommendations! Published in 2019 at "Asian-European Journal of Mathematics"
DOI: 10.1142/s1793557120501247
Abstract: In this paper, almost closed subspaces and almost closed linear operators are described in a Hilbert space. We show Neubauer’s lemma and we give necessary and sufficient conditions for an almost closed operator to be… read more here.
Keywords: general version; closed range; neubauer lemma; almost closed ... See more keywords
Closed range properties of Li–Stević integral-type operators between Bloch-typespaces and their essential norms
Sign Up to like & getrecommendations! Published in 2018 at "TURKISH JOURNAL OF MATHEMATICS"
DOI: 10.3906/mat-1805-148
Abstract: We investigate closed range properties of certain integral-type operators introduced by Li and Stević. The operators are considered between Bloch-type spaces. We also give the essential norm of such operators. Our results are given in… read more here.
Keywords: stevi integral; range properties; integral type; closed range ... See more keywords