We consider weighted algebras of holomorphic functions on a Banach space. We determine conditions on a family of weights that assure that the corresponding weighted space is an algebra or has polynomial Schauder decompositions. We study the spectra of weighted algebras and endow them with an analytic structure. We also deal with composition operators and algebra homomorphisms, in particular to ...

We propose a new method, called the textit{the weighted space method}, for the study of the generalized Hyers-Ulam-Rassias stability. We use this method for a nonlinear functional equation, for Volterra and Fredholm integral operators.

We give some sufficient conditions under which the tuple of the adjoint of weighted composition operators $(C_{omega_1,varphi_1}^*‎ , ‎C_{omega_2,varphi_2}^*)$ on the Hilbert space $mathcal{H}$ of analytic functions is supercyclic‎.

In this paper, we study the complete convergence and complete moment convergence for weighted sums of extended negatively dependent (END) random variables under sub-linear expectations space with the condition of [Formula: see text], further [Formula: see text], [Formula: see text] ([Formula: see text] is a slow varying and monotone nondecreasing function). As an application, the Baum-Katz type...

This paper deals with Stancu type generalization of q -analogue of Baskakov-Szasz operators introducing a new sequence of positive q -integral operators. We show that it is a weighted approximation process in the polynomial space of continuous functions defined on [0,∞). An estimate for the rate of convergence and weighted approximation properties are also obtained for these operators. MSC: 41A...

Let Ω be an open bounded set in R n (n ≥ 2), with C 2 boundary, and N p,λ (Ω) (1 < p < +∞, 0 ≤ λ < n) be a weighted Morrey space. In this note we prove a weighted version of the Miranda-Talenti inequality and we exploit it to show that, under a suitable condition of Cordes type, the Dirichlet problem:

We study the pointwise multiplier property of characteristic function half-space on weighted mixed-norm anisotropic vector-valued spaces Bessel potential and Triebel–Lizorkin type.