Results 41 to 50 of about 1,620 (102)

θ-type Calderón-Zygmund Operators and Commutators in Variable Exponents Herz space

open access: yesOpen Mathematics, 2018
The aim of this paper is to deal with the boundedness of the θ-type Calderón-Zygmund operators and their commutators on Herz spaces with two variable exponents p(⋅), q(⋅).
Yang Yanqi, Tao Shuangping
doaj   +1 more source

Boundedness for multilinear Marcinkiewicz operators on certain Hardy spaces

open access: yesInternational 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

Two‐weight norm inequalities for the rough fractional integrals

open access: yesInternational 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

Variation inequalities related to Schrödinger operators on weighted Morrey spaces

open access: yesOpen Mathematics, 2019
This paper establishes the boundedness of the variation operators associated with Riesz transforms and commutators generated by the Riesz transforms and BMO-type functions in the Schrödinger setting on the weighted Morrey spaces related to certain ...
Zhang Jing
doaj   +1 more source

Rough Maximal Oscillatory Singular Integral Operators [PDF]

open access: yes, 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
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Rough Marcinkiewicz integral operators

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 8, Page 495-503, 2001., 2001
We study the Marcinkiewicz integral operator M𝒫f(x)=(∫−∞∞|∫|y|≤2tf(x−𝒫(y))(Ω(y)/|y|n−1)dy|2dt/22t)12/, where 𝒫 is a polynomial mapping from ℝn into ℝd and Ω is a homogeneous function of degree zero on ℝn with mean value zero over the unit sphere Sn−1. We prove an Lp boundedness result of M𝒫 for rough Ω.
Hussain Al-Qassem, Ahmad Al-Salman
wiley   +1 more source

Sharp smoothing properties of averages over curves

open access: yesForum of Mathematics, Pi, 2023
We prove sharp smoothing properties of the averaging operator defined by convolution with a measure on a smooth nondegenerate curve $\gamma $ in $\mathbb R^d$ , $d\ge 3$ .
Hyerim Ko, Sanghyuk Lee, Sewook Oh
doaj   +1 more source

A commutator theorem for fractional integrals in spaces of homogeneous type

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 6, Page 403-418, 2000., 2000
We give a new proof of a commutator theorem for fractional integrals in spaces of homogeneous type.
Jorge J. Betancor
wiley   +1 more source

Strichartz estimates for orthonormal families of initial data and weighted oscillatory integral estimates

open access: yesForum of Mathematics, Sigma, 2021
We establish new Strichartz estimates for orthonormal families of initial data in the case of the wave, Klein–Gordon and fractional Schrödinger equations.
Neal Bez, Sanghyuk Lee, Shohei Nakamura
doaj   +1 more source

On Maximal Function on the Laguerre Hypergroup [PDF]

open access: yes, 2006
2000 Mathematics Subject Classification: 42B20, 42B25, 42B35Let K = [0, ∞)×R be the Laguerre hypergroup which is the fundamental manifold of the radial function space for the Heisenberg group.
Assal, Miloud, Guliyev, Vagif
core  

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