[PDF] Top 20 Spectrum of Compact Weighted Composition Operators on the Weighted Hardy Space in the Unit Ball

... a composition oper- ator as a generalization of a multiplication operator and a composition operator, recently, Gunatillake in [2] obtained some results for the spectrum of weighted ... See full document

... Let D be the open unit ball in C and H( D ) denotes the class of all analytic functions on D. Let w and v be strictly positive bounded con- tinuous functions on D . These types of functions are called ... See full document

... any bounded symmetric domain in its Harish-Chandra realization (see [4]), the repro- ducing kernel K satisfies K(z,z) →∞ as z → Δ (resp., z → D), so the following fact, which extends the fixed point results in [1, 5], is ... See full document

... As corollaries, in the end of this paper one gives the characterization of bounded invertible and unitary weighted composition operator on D, respectively. Some idea of this paper is derived from 4, 13, ... See full document

... Let T be a bounded linear operator on a Banach space. Recall that T is said to be compact if T maps every bounded set into relatively compact one. And if T is a com- pact operator, T must map every ... See full document

... Banach space. In most cases, the isometries of a space of analytic functions on the disk or the ball have the canonical form of weighted composition operators, which is also true ... See full document

... spaces. Operators of this kind also appear in many branches of analysis; the theory of dynamical systems, semigroups, the theory of operator algebras, the theory of solubility of equations with deviating argument ... See full document

... (4.4) when r < | z | < 1 and | ϕ(z) | ≤ δ. From (3.1), (4.3), and (4.4), the result follows. Theorem 4.2. Suppose that ϕ is an analytic self-map of the unit ball, u ∈ H(B), 0 < p, q < ∞ , φ is ... See full document

... two composition operators was first started on Hardy ...of composition operators on Hardy ...on weighted Bergman spaces, and by Hosokawa and Ohno 15 and Nieminen 16 on ... See full document

... the weighted Bergman spaces [], this turned out to be not true on the Hardy space ...of weighted composition operators on spaces of holomorphic func- tions can be found, for ... See full document

... multiplier bounded away from zero in D and ϕ is an automorphism of the unit disc. Consequently, three separate cases are considered, depending on the nature of the disc automorphism ϕ: elliptic, parabolic or ... See full document

... products operators M ψ C φ D, M ψ DC φ , C φ M ψ D, DM ψ C φ , C φ DM ψ , and DC φ M ψ that act from the Hardy spaces to the weighted-type ...previous operators act from Hardy spaces to ... See full document

... 16. Sánchez-Nungaray, A, Vasilevski, N: Toeplitz operators on the Bergman spaces with pseudodifferential defining symbols. In: Karlovich, YI, Rodino, L, Silbermann, B, Spitkovsky, IM (eds.) Operator Theory, ... See full document

... concrete operators between various spaces of analytic functions in the unit disk, the upper half plane, the unit ball and the unit ...some operators on weighted-type ... See full document

... whose unit ball is a proximinal or densely ball remotal set ...is ball proximinal and they are also densely ball remotal in several natural ...strongly ball proximinal only at ... See full document

... Stević, S: Weighted differentiation composition operators from H∞ and Bloch spaces to nth weigthed-type spaces on the unit disk.. Stević, S: Weighted differentiation composition operator[r] ... See full document

... The Hackey topology of a non-locally convex topological vector space X,x is the unique locally convex topology m on X satisfying the follow3... is weaker than x,.[r] ... See full document

... Manhas, Composition operators on function spaces, North Holland Math. Takagi, Compact weighted composition operators on L p -spaces, Proc.[r] ... See full document

... Abstract In this paper, we introduce a fractional maximal operators Nα on 0, ∞ associated to the fractional Hardy operator Pα and its dual Qα , 0 ≤ α < 1, and obtain some characterizatio[r] ... See full document

... Similarly, the Bergman space corresponds to the case dν = dx (Lebesgue measure), and w(t) = π/t. In the cases above, and in many others, the Laplace transform is surjective (see [12]) and as in [13] we shall use ... See full document