Results 71 to 80 of about 150 (128)

Cyclic Brunn-Minkowski Inequalities for p-affine surface area

, 2017
In 2010, Werner and Ye extended the denition for mixed p-affine surface area to all real numbers p. Following this, we establish some isoperimetric inequalities for the general mixed p-affine surface area.
Zhao, Chang-Jian
core  

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.
core  

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

Wiener amalgams and summability of Fourier series [PDF]

ome recent results on a general summability method, on the so-called µ-summability is summarized. New spaces, such as Wiener amalgams, Feichtinger’s algebra and modulation spaces are investigated in summability theory.
Weisz, Ferenc
core  

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

Approximation From Shift-Invariant Subspaces of ...

, 1991
: A complete characterization is given of closed shift-invariant subspaces of L 2 (IR d ) which provide a specified approximation order. When such a space is principal (i.e., generated by a single function), then this characterization is in terms of ...
Amos Ron, Ronald A. Devore, Carl de Boor
core  

Local fractal functions on Orlicz-Sobolev spaces

In these notes we consider a class of iterated function systems whose attractors are the graphs of local fractal functions belonging to Orlicz and to Orlicz-Sobolev spaces.
ARRIAGADA, Waldo
core   +1 more source

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

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