The boundary of Taylor's joint spectrum for two commuting Banach space operators
The boundary spectrum of linear operators in finite-dimensional spaces
The boundedness of Calderón-Zygmund operators on the spaces Fpα,q.
Calderón-Zygmund operators are generalizations of the singular integral operators introduced by Calderón and Zygmund in the fifties [CZ]. These singular integrals are principal value convolutions of the formTf(x) = límε→0 ∫|x-y|>ε K(x-y) f(y) dy = p.v.K * f(x),where f belongs to some class of test functions.
The boundedness of certain sublinear operator in the weighted variable Lebesgue spaces
The main purpose of this paper is to prove the boundedness of the multidimensional Hardy type operator in weighted Lebesgue spaces with a variable exponent. As an application we prove the boundedness of certain sublinear operators on the weighted variable Lebesgue space.
The boundedness of two classes of integral operators
The aim of this paper is to characterize the boundedness of two classes of integral operators from to in terms of the parameters , , , , and , , where is the Siegel upper half-space. The results in the presented paper generalize a corresponding result given in C. Liu, Y. Liu, P. Hu, L. Zhou (2019).
The solutions of the series-like iterative equation with variable coefficients.
The calculus of operator functions and operator convexity [Book]
The Calderón Projector for an Elliptic Operator in Divergence Form.
The C*-Algebra of a Singular Elliptic Problem on a Noncompact Riemannian Manifold.
The C*-Algebra of the N-Dimensional Harmonic Oscillator.
The carrier graph topology.
The Cauchy problem for an inclusion in Banach spaces and distribution spaces.
The Cauchy problem for the nonlinear Schrödinger Equation in H1.
The Cauchy problem of the one dimensional Schrödinger equation with non-local potentials.
The Cauchy-Riemann operator in infinite dimensional spaces.
The Cayley transform of Banach algebras.
The center of an algebra of operators
The central limit theorem for dynamical systems
The Cesàro and related operators, a survey
We provide a survey of properties of the Cesàro operator on Hardy and weighted Bergman spaces, along with its connections to semigroups of weighted composition operators. We also describe recent developments regarding Cesàro-like operators and indicate some open questions and directions of future research.
The characteristic of noncompact convexity and random fixed point theorem for set-valued operators
Let be a measurable space, a Banach space whose characteristic of noncompact convexity is less than 1, a bounded closed convex subset of , the family of all compact convex subsets of We prove that a set-valued nonexpansive mapping has a fixed point. Furthermore, if is separable then we also prove that a set-valued nonexpansive operator has a random fixed point.