Results 71 to 80 of about 144 (124)

Robust Orlicz spaces: observations and caveats

, 2020
Liebrich F-B, Nendel M. Robust Orlicz spaces: observations and caveats. Center for Mathematical Economics Working Papers. Vol 720. Bielefeld: Center for Mathematical Economics; 2020.In this paper, we investigate two different constructions of robust ...
Liebrich, Felix-Benedikt, Nendel, Max
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On the L p-boundedness of Calderón-Zygmund operators

Advanced Nonlinear Studies
The main result in this paper is that, for singular integral operators associated with standard kernels, local L 1-estimates imply global L p-estimates for every p ∈ (1, ∞).
Mitrea Dorina, Mitrea Marius
doaj   +1 more source

Boundedness of fractional sublinear operators on weighted grand Herz-Morrey spaces with variable exponents

Open Mathematics
This article aims to delve deeper into the weighted grand variable Herz-Morrey spaces, and try to establish the boundedness of fractional sublinear operators and their multilinear commutators within this framework.
Yang Zhenzhen, Zhang Wanjing, Zhang Jing
doaj   +1 more source

Abstract-valued Orlicz spaces of range-varying type

Open Mathematics, 2018
This paper mainly deals with the abstract-valued Orlicz spaces of range-varying type. Using notions of Banach space net and continuous modular net etc., we give definitions of Lϱθ(⋅)(I, Xθ(⋅)) and L+ϱθ(⋅)$\begin{array}{} L_{+}^{\varrho_{\theta(\cdot)}} \
Zhang Qinghua
doaj   +1 more source

Exponential integrability of martingales

, 2019
We obtain the exponential integrability of the maximal function, the quadratic variation and the conditional quadratic variation of bounded martingales and exponential integrable martingales.Mathematics Subject Classification (2010): 60G42, 60G46, 46E30,
Ho, Kwok-Pun
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Commutators of multilinear fractional maximal operators with Lipschitz functions on Morrey spaces

Open Mathematics
In this work, we present necessary and sufficient conditions for the boundedness of the commutators generated by multilinear fractional maximal operators on the products of Morrey spaces when the symbol belongs to Lipschitz spaces.
Zhang Pu, Ağcayazı Müjdat
doaj   +1 more source

Some criteria for determining when a Walsh series is a Walsh-Fourier series

, 2004
We show that a general Walsh series is the Walsh-Fourier series of a function ∈ Lp[0,1] for 1 ≤ p 〈 ∞ if and only if its sequence of partial sums contains a relatively weakly compact subsequence. Several other criteria are established for the case where
Alexopoulos, John, Sprague, Emily H.
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Anisotropic adams’ type inequality with exact growth in R4 ${\mathbb{R}}^{4}$

Advanced Nonlinear Studies
In this paper, we mainly extend the classical Adams’ inequality to its anisotropic type. By using the rearrangement argument, we establish best constants for anisotropic Adams’ type inequality with exact growth in R4 ${\mathbb{R}}^{4}$ .
Zhang Tao, Yang Fan, Cheng Tingzhi, Zhou Chunqin   +3 more
doaj   +1 more source

Estimates for Durrmeyer-type exponential sampling series in Mellin-Orlicz spaces

Demonstratio Mathematica
This study examines Durrmeyer-type exponential sampling series to obtain a quantitative estimate by using the concept of the logarithmic modulus of smoothness defined with the help of a suitable modular functional on Mellin-Orlicz spaces.
Kangal Esma, Kantar Ülkü Dinlemez
doaj   +1 more source

Sharp Constants in Some Multiplicative Sobolev Inequalities

, 1995
AMS Classification: Primary 46E30, 46E35, 28E99. Secondary 26D10The optimal constants in the multiplicative Sobolev inequalities where the gradient is estimated in the L_1-norm and the function in two different Lebesgue norms are found.
Bobkov, S. G., Houdré, Christian
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