Results 41 to 50 of about 1,125 (122)

Characterization of Riesz and Bessel potentials on variable Lebesgue spaces

Journal of Function Spaces, Volume 4, Issue 2, Page 113-144, 2006., 2006
Riesz and Bessel potential spaces are studied within the framework of the Lebesgue spaces with variable exponent. It is shown that the spaces of these potentials can be characterized in terms of convergence of hypersingular integrals, if one assumes that the exponent satisfies natural regularity conditions. As a consequence of this characterization, we
Alexandre Almeida, Stefan Samko, Vakhtang Kokilashvili   +2 more
wiley   +1 more source

A note on two‐weight inequalities for multiple Hardy‐type operators

Journal of Function Spaces, Volume 3, Issue 3, Page 223-237, 2005., 2005
Necessary and sufficient conditions on a pair of weights guaranteeing two‐weight estimates for the multiple Riemann‐Liouville transforms are established provided that the weight on the right‐hand side satisfies some additional conditions.
Alexander Meskhi, Vakhtang Kokilashvili
wiley   +1 more source

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, Montgomery-Smith, Stephen   +1 more
core   +4 more sources

A note on bi-contractive projections on spaces of vector valued continuous functions

Concrete Operators, 2018
This paper concerns the analysis of the structure of bi-contractive projections on spaces of vector valued continuous functions and presents results that extend the characterization of bi-contractive projections given by the first author.
Botelho Fernanda, Rao T.S.S.R.K.
doaj   +1 more source

Moore-Penrose inverse of conditional type operators

, 2017
We prove some basic results on some Moore-Penrose inverse of conditional type operators on L2(Σ) . For instance, we show, among other results, that a weighted conditional operator T = MwEMu is centered if and only if T † , the Moore-Penrose inverse of T ,
M. Jabbarzadeh, M. Chegeni
semanticscholar   +1 more source

Norm-Controlled Inversion of Banach algebras of infinite matrices

, 2020
In this paper we provide a polynomial norm-controlled inversion of Baskakov–Gohberg–Sjöstrand Banach algebra in a Banach algebra B(`q ), 1 ≤ q ≤∞, which is not a symmetric ∗− Banach algebra. 2020 Mathematics Subject Classification.
Qiquan Fang, C. Shin
semanticscholar   +1 more source

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

On the compactness of the Stević-Sharma operator on the logarithmic Bloch spaces

, 2016
Let H(D) denote the space of all analytic functions on the unit disc D of the complex plane C , ψ1,ψ2 ∈ H(D) , and φ be an analytic self-map of D . In this paper, we characterize the compactness of the Stević-Sharma operator on the logarithmic Bloch ...
F. Zhang, Yongmin Liu
semanticscholar   +1 more source

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