Results 41 to 50 of about 1,622 (105)

Singular integrals with angular integrability

, 2016
In this note we prove a class of sharp inequalities for singular integral operators in weighted Lebesgue spaces with angular integrability.Comment: 5 pages - updated ...
Cacciafesta, Federico, Lucà, Renato
core   +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

Boundedness for multilinear Marcinkiewicz operators on certain Hardy spaces

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 2, Page 87-96, 2003., 2003
The boundedness for the multilinear Marcinkiewicz operators on certain Hardy and Herz‐Hardy spaces are obtained.
Liu Lanzhe
wiley   +1 more source

On certain trilinear oscillatory integral inequalities

Advanced Nonlinear Studies
Inequalities are established for certain trilinear scalar-valued functionals. These functionals act on measurable functions of one real variable, are defined by integration over two- or three-dimensional spaces, and are controlled in terms of Lebesgue ...
Christ Michael
doaj   +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

Rough Maximal Oscillatory Singular Integral Operators [PDF]

, 2005
2000 Mathematics Subject Classification: Primary 42B20; Secondary 42B15, 42B25In this paper, we establish the L^p boundedness of certain maximal oscillatory singular integral operators with rough kernels belonging to certain block spaces.
Al-Salman, Ahmad
core  

Fourth-order Schr\"odinger type operator with singular potentials

, 2016
In this paper we study the biharmonic operator perturbed by an inverse fourth-order potential. In particular, we consider the operator $A=\Delta^2-V=\Delta^2-c|x|^{-4}$ where $c$ is any constant such that ...
Gregorio, Federica, Mildner, Sebastian
core   +1 more source

Two‐weight norm inequalities for the rough fractional integrals

International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 8, Page 517-524, 2001., 2001
The authors give the weighted (Lp, Lq)‐boundedness of the rough fractional integral operator TΩ,α and the fractional maximal operator MΩ,α with two different weight functions.
Yong Ding, Chin-Cheng Lin
wiley   +1 more source

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

Singular Oscillatory Integrals on R^n

, 2009
Let Pd,n denote the space of all real polynomials of degree at most d on R^n. We prove a new estimate for the logarithmic measure of the sublevel set of a polynomial P in Pd,1.
A. Carbery, I. R. Parissis, I.R. Parissis, M. Papadimitrakis   +3 more
core   +1 more source