Results 51 to 60 of about 1,960 (141)

Multiple singular integrals and maximal operators with mixed homogeneity along compound surfaces

, 2016
In this paper we present the Lp mapping properties for a class of multiple singular integral operators along polynomial compound surfaces provided that the integral kernels are given by the radial function h ∈ Δγ (or h ∈ Uγ ) for some γ > 1 and the ...
Feng Liu, D. Zhang
semanticscholar   +1 more source

Littlewood‐Paley characterization for Campanato spaces

Journal of Function Spaces, Volume 4, Issue 2, Page 193-220, 2006., 2006
The Littlewood‐Paley characterization for the local approximation Campanato spaces Lpα is well known in the cases α ≥ 0 and α=−np. We give in this paper a characterization of such a type for L2α spaces (and for Morrey‐Campanato spaces L2,λ) for any α≥−n2.
Azzeddine El Baraka, Hans Triebel
wiley   +1 more source

Rough fractional integral operators and beyond Adams inequalities

Mathematical Inequalities & Applications, 2019
We consider the boundedness of fractional integral operators with rough kernel from Morrey spaces Lp,λ to Lq,μ . Our main concern is proving the boundedness property for μ < λ as an extension of Adams inequality on some special subsets of the operator’s ...
Daniel Salim, Y. Soeharyadi, W. S. Budhi
semanticscholar   +1 more source

Some Hardy and Carleson measure spaces estimates for Bochner-Riesz means

, 2020
In this paper, we show that the Bochner-Riesz means are bounded on weighted and variable Hardy spaces by using the finite atomic decomposition theories.
J. Tan
semanticscholar   +1 more source

Boundedness Characterization of Maximal Commutators on Orlicz Spaces in the Dunkl Setting

Journal of Mathematical Study, 2020
On the real line, the Dunkl operators Dν( f )(x) := d f (x) dx +(2ν+1) f (x)− f (−x) 2x , ∀x∈R, ∀ν≥− 1 2 are differential-difference operators associated with the reflection group Z2 on R, and on the Rd the Dunkl operators { Dk,j }d j=1 are the ...
Vagif S. Guliyev sci
semanticscholar   +1 more source

Boundedness of multilinear operators on Triebel‐Lizorkin spaces

International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 5, Page 259-271, 2004., 2004
The purpose of this paper is to study the boundedness in the context of Triebel‐Lizorkin spaces for some multilinear operators related to certain convolution operators. The operators include Littlewood‐Paley operator, Marcinkiewicz integral, and Bochner‐Riesz operator.
Liu Lanzhe
wiley   +1 more source

Variable Anisotropic Hardy Spaces with Variable Exponents

Analysis and Geometry in Metric Spaces, 2021
Let p(·) : ℝn → (0, ∞] be a variable exponent function satisfying the globally log-Hölder continuous and let Θ be a continuous multi-level ellipsoid cover of ℝn introduced by Dekel et al. [12].
Yang Zhenzhen, Yang Yajuan, Sun Jiawei, Li Baode   +3 more
doaj   +1 more source

Continuity for some multilinear operators of integral operators on Triebel‐Lizorkin spaces

International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 38, Page 2039-2047, 2004., 2004
The continuityfor some multilinear operators related to certain fractional singular integral operators on Triebel‐Lizorkin spaces is obtained. The operators include Calderon‐Zygmund singular integral operator and fractional integral operator.
Liu Lanzhe
wiley   +1 more source

Fractional integral operators on central Morrey spaces

, 2017
We consider the boudedness of fractional integral operators on localized (central) Morrey spaces and investigate the relation between the Adams inequality and the Spanne inequality. Mathematics subject classification (2010): 42B20, 42B25.
Y. Komori‐Furuya, Enji Sato
semanticscholar   +1 more source

Quantitative Two‐Weight Boundedness for Iterated Commutators of Multilinear Fractional Operators With Lα,r′‐Hörmander Conditions

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
In this paper, we investigate the quantitative two‐weight boundedness for iterated commutators of multilinear fractional operators with Lα,r′‐Hörmander conditions. The analysis relies heavily on sparse domination techniques for the operators. We extend the result already established to the multilinear setting and to iterated commutators.
Zhidan Wang, Chunmei Zhang, Richard I. Avery   +2 more
wiley   +1 more source