Results 61 to 70 of about 2,927,156 (202)
A Schwarz Lemma and Composition Operators [PDF]
Integral Equations and Operator Theory, 2004 Let \(D\) be a domain in a complex Banach space \(E\) and let \(\triangle\) be the open unit disc in the complex plane. The authors first prove that \(\log((2 + d_D)/(2- d_D))\) coincides with the Carathéodory pseudo-distance \(C_D\) on \(D\), where the pseudo-distance \(d_D\) is defined by \(d_D(z,w):= \sup\{| f(z)-f(w)| : f : D \to \triangle ...
Mackey, Michael, Mellon, Pauline
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Composition operator on Λpx(w) spaces
, 2017 In this paper we give an overview of the Λpx(w) spaces and also characterize the boundedness and compactness of the composition operator on weighted Lorentz spaces.Keywords: Composition operator, weighted Lorentz spaces, boundedness and compactness of ...
Suarez, Cruz +2 more
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Operator valued Dirichlet problem in the plane [PDF]
, 2013 We consider an operator valued Dirichlet problem for harmonic mappings and prove the existence of a Perron-like solution. To formulate the Perron’s construction we make use of Olson’s notion of spectral order.
Göğüş, Nihat Gökhan
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Product of Composition and Multiplication Operator [PDF]
, 2015 Operators are nothing but the mapping from a topological space to a topological space. When it satisfies the criterion for the linearity, it becomes linear.
Gardia, Sharata Charan
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COMPACT DIFFERENCES OF COMPOSITION OPERATORS [PDF]
Bulletin of the Australian Mathematical Society, 2008 AbstractLet ϕ andψbe analytic self-maps of the open unit disk. Each of them induces a composition operator,CϕandCψrespectively, acting between weighted Bergman spaces of infinite order. We show that the differenceCϕ−Cψis compact if and only if both operators are compact or both operators are not compact and the pseudohyperbolic distance of the ...
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The essential norm of a composition operator on Bloch spaces [PDF]
, 1999 We express the essential norm of a composition operator on the Bloch space and the little Bloch space as the asymptotic upper bound of a quantity involving the inducing map and the Pick-Schwarz Lemma. As a consequence, we obtain a new proof of a recently
Montes Rodríguez, Alfonso
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On the product of Toeplitz and composition operators on Fock-Sobolev spaces
四川大学学报. 自然科学版, 2021 We characterize the boundedness of the product of Toeplitz and composition operators for two polynomials symbols on Fock-Sobolev spaces. We also consider the commutativity of Toeplitz and composition operator, and obtain several necessary and sufficient ...
QIN Jie, WANG Xiao-Feng
doaj
Weighted Composition Operators on BMOA [PDF]
Computational Methods and Function Theory, 2008 The author completely characterizes the boundedness and compactness of the weighted composition operator \(W_{\psi,\varphi}f=\psi (f\circ \varphi)\) acting on \(BMOA\) and \(VMOA\) of the unit disc. The results extend and unify those known for the cases \(\varphi(z)=z\) and \(\psi(z)=1\) corresponding to the multiplication operator \(M_\psi\) [see ...
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, 2010 We establish the Poincaré type inequalities for the composition of the maximal operator and the Green's operator in John domains.
Umoh HansonM, Ling Yi
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