The Experts below are selected from a list of 327 Experts worldwide ranked by ideXlab platform
Alberto Saracco - One of the best experts on this subject based on the ideXlab platform.
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Toeplitz operators and Carleson measures in strongly Pseudoconvex Domains
Journal of Functional Analysis, 2012Co-Authors: Marco Abate, Jasmin Raissy, Alberto SaraccoAbstract:We study mapping properties of Toeplitz operators associated to a finite positive Borel measure on a bounded strongly Pseudoconvex Domain $D$ in $n$ complex variables. In particular, we give sharp conditions on the measure ensuring that the associated Toeplitz operator maps the Bergman space $A^p(D)$ into $A^r(D)$ with $r>p$, generalizing and making more precise results by Cuckovic and McNeal. To do so, we give a geometric characterization of Carleson measures and of vanishing Carleson measures of weighted Bergman spaces in terms of the intrinsic Kobayashi geometry of the Domain, generalizing to this setting results obtained by Kaptanoglu for the unit ball.
Marco Abate - One of the best experts on this subject based on the ideXlab platform.
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Skew Carleson measures in strongly Pseudoconvex Domains
Complex Analysis and Operator Theory, 2018Co-Authors: Marco Abate, Jasmin RaissyAbstract:Given a bounded strongly Pseudoconvex Domain D in C n with smooth boundary, we give a characterization through products of functions in weighted Bergman spaces of (λ, γ)-skew Carleson measures on D, with λ > 0 and γ > 1 − 1 n+1 .
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Toeplitz operators and Carleson measures in strongly Pseudoconvex Domains
Journal of Functional Analysis, 2012Co-Authors: Marco Abate, Jasmin Raissy, Alberto SaraccoAbstract:We study mapping properties of Toeplitz operators associated to a finite positive Borel measure on a bounded strongly Pseudoconvex Domain $D$ in $n$ complex variables. In particular, we give sharp conditions on the measure ensuring that the associated Toeplitz operator maps the Bergman space $A^p(D)$ into $A^r(D)$ with $r>p$, generalizing and making more precise results by Cuckovic and McNeal. To do so, we give a geometric characterization of Carleson measures and of vanishing Carleson measures of weighted Bergman spaces in terms of the intrinsic Kobayashi geometry of the Domain, generalizing to this setting results obtained by Kaptanoglu for the unit ball.
Jasmin Raissy - One of the best experts on this subject based on the ideXlab platform.
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Skew Carleson measures in strongly Pseudoconvex Domains
Complex Analysis and Operator Theory, 2018Co-Authors: Marco Abate, Jasmin RaissyAbstract:Given a bounded strongly Pseudoconvex Domain D in C n with smooth boundary, we give a characterization through products of functions in weighted Bergman spaces of (λ, γ)-skew Carleson measures on D, with λ > 0 and γ > 1 − 1 n+1 .
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Toeplitz operators and Carleson measures in strongly Pseudoconvex Domains
Journal of Functional Analysis, 2012Co-Authors: Marco Abate, Jasmin Raissy, Alberto SaraccoAbstract:We study mapping properties of Toeplitz operators associated to a finite positive Borel measure on a bounded strongly Pseudoconvex Domain $D$ in $n$ complex variables. In particular, we give sharp conditions on the measure ensuring that the associated Toeplitz operator maps the Bergman space $A^p(D)$ into $A^r(D)$ with $r>p$, generalizing and making more precise results by Cuckovic and McNeal. To do so, we give a geometric characterization of Carleson measures and of vanishing Carleson measures of weighted Bergman spaces in terms of the intrinsic Kobayashi geometry of the Domain, generalizing to this setting results obtained by Kaptanoglu for the unit ball.
Young Hwan You - One of the best experts on this subject based on the ideXlab platform.
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Estimates of Invariant Metrics on Pseudoconvex Domains of Finite Type in
Abstract and Applied Analysis, 2014Co-Authors: Sanghyun Cho, Young Hwan YouAbstract:Let be a smoothly bounded Pseudoconvex Domain in and assume that is a point of finite 1-type in the sense of D’Angelo. Then, there are an admissible curve , connecting points and , and a quantity , along , which bounds from above and below the Bergman, Caratheodory, and Kobayashi metrics in a small constant and large constant sense.
Raissy Jasmin - One of the best experts on this subject based on the ideXlab platform.
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Skew Carleson Measures in Strongly Pseudoconvex Domains
'Springer Science and Business Media LLC', 2019Co-Authors: Abate Marco, Raissy JasminAbstract:Given a bounded strongly Pseudoconvex Domain D in C^n with smooth boundary, we give a characterization through products of functions in weighted Bergman spaces of (lambda,theta)-skew Carleson measures on D
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Skew Carleson measures in strongly Pseudoconvex Domains
'Springer Science and Business Media LLC', 2018Co-Authors: Abate Marco, Raissy JasminAbstract:International audienceGiven a bounded strongly Pseudoconvex Domain D in C n with smooth boundary, we give a characterization through products of functions in weighted Bergman spaces of (λ, γ)-skew Carleson measures on D, with λ > 0 and γ > 1 − 1 n+1
