Results 31 to 40 of about 883 (86)
Lyapunov theorems for Banach spaces
, 1993 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
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 41, Page 2199-2203, 2004., 2004 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
Uniformly summing sets of operators on spaces of continuous functions
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 63, Page 3397-3407, 2004., 2004 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]
, 2012 MSC 2010: Primary: 447B37; Secondary: 47B38 ...
Dimovski, Ivan, Hristov, Valentin
core
Semi-norms of the Bergman projection
, 2015 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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Cm solutions of systems of finite difference equations
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 36, Page 2315-2326, 2003., 2003 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
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 31, Page 1973-1979, 2003., 2003 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
LP → LQ - Estimates for the Fractional Acoustic Potentials and some Related Operators [PDF]
, 2005 Mathematics Subject Classification: 47B38, 31B10, 42B20, 42B15.We obtain the Lp → Lq - estimates for the fractional acoustic potentials in R^n, which are known to be negative powers of the Helmholtz operator, and some related operators. Some applications
Karapetyants, Alexey +2 more
core
Continuous linear operators on Orlicz-Bochner spaces
Open Mathematics, 2019 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
doaj +1 more source
Characterizations for the potential operators on Carleson curves in local generalized Morrey spaces
Open Mathematics, 2020 In this paper, we give a boundedness criterion for the potential operator ℐα{ {\mathcal I} }^{\alpha } in the local generalized Morrey space LMp,φ{t0}(Γ)L{M}_{p,\varphi }^{\{{t}_{0}\}}(\text{Γ}) and the generalized Morrey space Mp,φ(Γ){M}_{p ...
Guliyev Vagif +2 more
doaj +1 more source