in this paper we consider the so called a vector metric space, which is a generalization of metric space, where the metric is riesz space valued. we prove some common fixed point theorems for three mappings in this space. obtained results extend and generalize well-known comparable results in the literature.

In this article, we briefly describe nearly $$T^{-1}$$ invariant subspaces with finite defect for a shift operator T having multiplicity acting on separable Hilbert space $${\mathcal {H}}$$ as generalization of introduced by Liang and Partington in Complex Anal. Oper. Theory 15(1) (2021) 17 pp. other words, characterize terms backward vector-valued Hardy spaces using Theorem 3.5 Int. Equations ...

in this paper, we first introduce some function spaces, with certain locally convex topologies, closely  related to the space of real-valued continuous functions on $x$,  where $x$ is a $c$-distinguished topological space. then, we show that their dual spaces can be identified in a natural way with certain spaces of radon measures.

The statement of the problem. In this paper we study weighted norm inequalities with matrix valued weights. Namely, let W be a d × d matrix weight, i.e. a L-function whose values are selfadjoint nonnegative d × d matrices. We suppose that the weight W is defined on the unit circle T = {z ∈ C : |z| = 1} or the real line R. Let L = L(C) be the space of all measurable vector functions on T whose C...

∣ = 0 respectively. We also use Hardy notation: f(N) ≪ g(N) if f(N) = o(g(N)). • Throughout, I will use ∂i to indicate the partial derivative with respect to the i th cooordinate and D to denote the total derivative operator: if F : R → R, (DF) = (∂jFi)ij • R+ = {x ∈ R K : xi ≥ 0, i = 1, . . . ,K}. • If x,y ∈ R , we write x ≤ y if xi ≤ yi for all i, x < y if x ≤ y and xi < yi for at least one i...