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Let μ be a nonnegative Borel measure on Rd satisfying that μ(Q) ⩽ l(Q)n for every cube Q ⊂ Rn, where l(Q) is the side length of the cube Q and 0 < n ⩽ d. We study the class of pairs of weights related to the boun...

In this paper, we study bounded lattice homomorphisms from [Formula: see text]-spaces over complete [Formula: see text]-finite measure spaces into Banach lattices. For [Formula: see text], we work on the [Formula: see te...

In this article, we prove modular and norm Pólya–Szegö inequalities in general fractional Orlicz–Sobolev spaces by using the polarization technique. We introduce a general framework which includes the different def...

In this paper we give survey of hypercyclic composition operators. In pacticular,we represent new classes of hypercyclic composition operators on the spaces of analyticfunctions.

In this work we search for boundedness results for operators related to the semigroup generated by the degenerate Schrödinger operator Lu=−1ωdivA⋅∇u+Vu, where ω is a weight, A is a matrix depending on x and sati...

We study the Heil-Ramanathan-Topiwala conjecture in L^p spaces by reformulating it as a fixed point problem. This reformulation shows that a function with linearly dependent time-frequency translates has a very rigid str...

Abstract In this paper, we present novel characterizations of weights for dynamic Hardy-type inequalities on time scales. In the continuous case, our findings correspond to the classical discrete inequalities established...

In this paper, we aim to establish several properties and notions for interpolative metric spaces and to introduce the idea of a Hausdorff interpolative metric space. Through the formulation of the key principles of Haus...

Given non negative measurable real valued functions f and g, we get inequalities of the type ! Ω Ψ(f) dµ ≤ K ! Ω Ψ( g c ) dµ, assuming weak type inequalities µ({f>a}) ≤ K ! {f>a} ϕ( g a ) dµ where ϕ, ψ :...