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Pair correlation of real-valued vector sequences
In this article, we investigate the fine-scale statistics of real-valued arithmetic sequences. In particular, we focus on real-valued vector...
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Weighted norm inequalities for one sided vector valued Hardy-Littlewood maximal function on one sided Morrey like spaces
In this article, we study the boundedness of one-sided Hardy-Littlewood maximal operator in vector-valued setting on one-sided weighted like Morrey...
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Duality for vector-valued Bergman–Orlicz spaces and little Hankel operators between vector-valued Bergman–Orlicz spaces on the unit ball
In this paper, we consider vector-valued Bergman–Orlicz spaces which are generalization of classical vector-valued Bergman spaces. We characterize...
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Fixed Point Theory for Multi-valued Feng–Liu Operators in Vector-Valued Metric Spaces
The most important metric fixed point theorem for multi-valued operators is the Multi-valued Contraction Principle proved by S. B. Nadler Jr. in...
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Regular measures of noncompactness and Ascoli–Arzelà type compactness criteria in spaces of vector-valued functions
In this paper we estimate the Kuratowski and the Hausdorff measures of noncompactness of bounded subsets of spaces of vector-valued bounded functions...
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Denseness of norm attaining compact operators to some vector-valued function spaces
It is known that every compact linear operator from a Banach space to a uniform algebra can be approximated by norm attaining ones. In this paper, we...
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Generalized Lagrangian Duality in Set-valued Vector Optimization via Abstract Subdifferential
In this paper, we investigate dual problems for nonconvex set-valued vector optimization via abstract subdifferential. We first introduce a...
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Extensions of the vector-valued Hausdorff–Young inequalities
In this paper we study the vector-valued analogues of several inequalities for the Fourier transform. In particular, we consider the inequalities of...
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Improved Caffarelli–Kohn–Nirenberg Inequalities and Uncertainty Principle
In this paper we prove some improved Caffarelli–Kohn–Nirenberg inequalities and uncertainty principle for complex- and vector-valued functions on
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Sparse domination implies vector-valued sparse domination
We prove that scalar-valued sparse domination of a multilinear operator implies vector-valued sparse domination for tuples of quasi-Banach function...
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Estimates for vector-valued intrinsic square functions and their commutators on certain weighted amalgam spaces
In this paper, we first introduce some new kinds of weighted amalgam spaces. Then we deal with the vector-valued intrinsic square functions, which...
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Nonlinear analysis in p-vector spaces for single-valued 1-set contractive map**s
The goal of this paper is to develop some fundamental and important nonlinear analysis for single-valued map**s under the framework of p -vector...
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Conditions for the stability of ideal efficient solutions in parametric vector optimization via set-valued inclusions
In present paper, an analysis of the stability behaviour of ideal efficient solutions to parametric vector optimization problems is conducted. A...
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A Banach—Stone Type Theorem for Space of Vector-Valued Differentiable Maps
This article describes the surjective linear isometries between spaces of p -times differentiable maps from a domain of the Euclidean space into a...
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Classical inequalities
In this chapter, we collect some classical inequalities for geometric quantities of convex bodies (such as volume and surface area, for example).