Norm Estimates for Toeplitz Operators on the Bergman Space with Symbols Supported in Circles and Mixed Norms
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DOI: 10.1007/s11785-016-0539-2
Abstract: In this paper we study the class of Toeplitz operators $$T_{\varphi }$$Tφ, for which $$\int _{0}^{1}\left( 1-t\right) ^{q-1}\left\| T_{\varphi d\sigma _{t}}\right\| _{p}^{q}dt read more here.
Keywords: norm estimates; operators bergman; bergman space; toeplitz operators ... See more keywords
Norm estimates for k-plane transforms and geometric inequalities
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DOI: 10.1016/j.aim.2019.04.012
Abstract: The article is devoted to remarkable interrelation between the norm estimates for $k$-plane transforms in weighted and unweighted $L^p$ spaces and geometric integral inequalities for cross-sections of measurable sets in $\mathbb{R}^n$. We also consider more… read more here.
Keywords: transforms geometric; geometric inequalities; plane transforms; norm estimates ... See more keywords
Lp → Lq norm estimates of Cauchy transforms on the Dirichlet problem and their applications
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DOI: 10.1016/j.jmaa.2021.125255
Abstract: Abstract Denote by C α ( D ) the space of the functions f on the unit disk D which are Holder continuous with the exponent α, and denote by C 1 , α (… read more here.
Keywords: applications norm; estimates cauchy; dirichlet problem; cauchy transforms ... See more keywords
Norm Estimates of the Pre-Schwarzian Derivatives for Functions with Conic-like Domains
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DOI: 10.3390/math11112490
Abstract: The pre-Schwarzianand Schwarzian derivatives of analytic functions f are defined in U, where U is the open unit disk. The pre-Schwarzian as well as Schwarzian derivatives are popular tools for studying the geometric properties of… read more here.
Keywords: pre schwarzian; estimates pre; norm estimates; schwarzian derivatives ... See more keywords