On Discrete Weighted Lorentz Spaces and Equivalent Relations between Discrete ℓp-Classes
نویسندگان
چکیده
In this paper, we study some relations between different weights in the classes Bp,Bp*,Mp and Mp* that characterize boundedness of Hardy operator adjoint operator. We also prove these generate same weighted Lorentz space Λp. These results will be proven by using properties Mp*, including self-improving generalized Hp, Sq fundamental them connecting their composition to sum.
منابع مشابه
compactifications and function spaces on weighted semigruops
chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...
15 صفحه اولDouble-null operators and the investigation of Birkhoff's theorem on discrete lp spaces
Doubly stochastic matrices play a fundamental role in the theory of majorization. Birkhoff's theorem explains the relation between $ntimes n$ doubly stochastic matrices and permutations. In this paper, we first introduce double-null operators and we will find some important properties of them. Then with the help of double-null operators, we investigate Birkhoff's theorem for descreate $l^p$ sp...
متن کاملImbeddings between Weighted Orlicz–lorentz Spaces
We establish necessary and sufficient conditions for imbeddings of weighted Orlicz–Lorentz spaces.
متن کاملTopological Relations between Discrete Regions
Topological reasoning is important for speeding up spatial queries, e.g. in GIS or in AI (robotics). While topological relations between spatial objects in the vector model (I R 2) are investigated thoroughly, we run into inconsistencies in the raster model (Z Z 2). But instead of reducing our requirements in case of reasoning in raster images we change from simple raster to a cellular decompos...
متن کاملDiscrete Rational Lp Approximation
In this paper, the problem of approximating a function defined on a finite subset of the real line by a family of generalized rational functions whose numerator and denominator spaces satisfy the Haar conditions on some closed interval [a, b] containing the finite set is considered. The pointwise closure of the family restricted to the finite set is explicitly determined. The representation obt...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Fractal and fractional
سال: 2023
ISSN: ['2504-3110']
DOI: https://doi.org/10.3390/fractalfract7030261