Results 31 to 40 of about 85 (84)

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

open access: yesInternational 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

A note on commutators of strongly singular Calderón-Zygmund operators

open access: yesOpen Mathematics, 2022
In this article, the authors consider the commutators of strongly singular Calderón-Zygmund operator with Lipschitz functions. A sufficient condition is given for the boundedness of the commutators from Lebesgue spaces Lp(Rn){L}^{p}\left({{\mathbb{R ...
Zhang Pu, Zhu Xiaomeng
doaj   +1 more source

Rough singular integrals on product spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 67, Page 3671-3684, 2004., 2004
We study the mapping properties of singular integral operators defined by mappings of finite type. We prove that such singular integral operators are bounded on the Lebesgue spaces under the condition that the singular kernels are allowed to be in certain block spaces.
Ahmad Al-Salman, Hussain Al-Qassem
wiley   +1 more source

Zygmund inequality of the conjugate function on Morrey-Zygmund spaces

open access: yesDemonstratio Mathematica, 2019
We generalize the Zygmund inequality for the conjugate function to the Morrey type spaces defined on the unit circle T. We obtain this extended Zygmund inequality by introducing the Morrey-Zygmund space on T.
Yee Tat-Leung, Ho Kwok-Pun
doaj   +1 more source

Stein-Weiss inequality for local mixed radial-angular Morrey spaces

open access: yesOpen Mathematics, 2022
In this article, a generalization of the well-known Stein-Weiss inequality for the fractional integral operator on functions with different integrability properties in the radial and the angular direction in local Morrey spaces is established.
Wei Mingquan, Su Fangming, Sun Lanyin
doaj   +1 more source

Marcinkiewicz integrals along subvarieties on product domains

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 72, Page 4001-4011, 2004., 2004
We study the Lp mapping properties of a class of Marcinkiewicz integral operators on product domains with rough kernels supported by subvarieties.
Ahmad Al-Salman
wiley   +1 more source

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

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