Results 31 to 40 of about 879 (86)
Commutators of Hardy-Littlewood operators on p-adic function spaces with variable exponents
In this article, we obtain some sufficient conditions for the boundedness of commutators of pp-adic Hardy-Littlewood operators with symbols in central bounded mean oscillation space and Lipschitz space on the pp-adic function spaces with variable ...
Dung Kieu Huu, Thuy Pham Thi Kim
doaj +1 more source
Lyapunov theorems for Banach spaces
We present a spectral mapping theorem for semigroups on any Banach space $E$. From this, we obtain a characterization of exponential dichotomy for nonautonomous differential equations for $E$-valued functions.
Latushkin, Yuri +1 more
core +4 more sources
Extension of Zhu′s solution to Lotto′s conjecture on the weighted Bergman spaces
We reformulate Lotto′s conjecture on the weighted Bergman space Aα2 setting and extend Zhu′s solution (on the Hardy space H2) to the space Aα2.
Abebaw Tadesse
wiley +1 more source
Continuous linear operators on Orlicz-Bochner spaces
Let (Ω, Σ, μ) be a complete σ-finite measure space, φ a Young function and X and Y be Banach spaces. Let Lφ(X) denote the corresponding Orlicz-Bochner space and Tφ∧$\begin{array}{} \displaystyle \mathcal T^\wedge_\varphi \end{array}$ denote the finest ...
Nowak Marian
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Uniformly summing sets of operators on spaces of continuous functions
Let X and Y be Banach spaces. A set ℳ of 1‐summing operators from X into Y is said to be uniformly summing if the following holds: given a weakly 1‐summing sequence (xn) in X, the series ∑n‖Txn‖ is uniformly convergent in T ∈ ℳ. We study some general properties and obtain a characterization of these sets when ℳ is a set of operators defined on spaces ...
J. M. Delgado, Cándido Piñeiro
wiley +1 more source
Commutants of the Square of Differentiation on the Half-Line [PDF]
MSC 2010: Primary: 447B37; Secondary: 47B38 ...
Dimovski, Ivan, Hristov, Valentin
core
Isometries and Hermitian Operators on Zygmund spaces
In this paper we characterize the isometries of subspaces of the little Zygmund space. We show that the isometries of these spaces are surjective and represented as integral operators.
Botelho, Fernanda
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Cm solutions of systems of finite difference equations
Let ℝ be the real number axis. Suppose that G, H are Cm maps from ℝ2n+3 to ℝ. In this note, we discuss the system of finite difference equations G(x, f(x), f(x + 1), …, f(x + n), g(x), g(x + 1), …, g(x + n)) + 0 and H(x, g(x), g(x + 1), …, g(x + n), f(x), f(x + 1), …, f(x + n)) = 0 for all x ∈ ℝ, and give some relatively weak conditions for the above ...
Xinhe Liu, Xiuli Zhao, Jianmin Ma
wiley +1 more source
Composition operators from the Bloch space into the spaces QT
Suppose that φ(z) is an analytic self‐map of the unit disk Δ. We consider the boundedness of the composition operator Cφ from Bloch space ℬ into the spaces QT (QT,0) defined by a nonnegative, nondecreasing function T(r) on 0 ≤ r < ∞.
Pengcheng Wu, Hasi Wulan
wiley +1 more source
Semi-norms of the Bergman projection
It is known that the Bergman projection operator maps the space of essentially bounded functions in the unit ball in the d-dimensional complex vector space onto the Bloch space of the unit ball. This paper deals with the various semi-norms of the Bergman
Markovic, Marijan
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