Results 51 to 60 of about 127 (125)
Analysis and Geometry in Metric Spaces, 2023 The main purpose of this article is to establish some new characterizations of the (variable) Lipschitz spaces in terms of the boundedness of commutator of multilinear fractional Calderón-Zygmund integral operators in the context of the variable exponent
Zhang Pu, Wu Jianglong
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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 +2 more
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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
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On certain trilinear oscillatory integral inequalities
Advanced Nonlinear StudiesInequalities 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
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The dimension-free estimate for the truncated maximal operator
Open Mathematics, 2022 We mainly study the dimension-free Lp{L}^{p}-inequality of the truncated maximal operator Mnaf(x)=supt>01∣Ba1∣∫Ba1f(x−ty)dy,{M}_{n}^{a}f\left(x)=\mathop{\sup }\limits_{t\gt 0}\frac{1}{| {B}_{a}^{1}| }\left|\mathop{\int }\limits_{{B}_{a}^{1}}f\left(x-ty){\
Nie Xudong, Wang Panwang
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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
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On the L p-boundedness of Calderón-Zygmund operators
Advanced Nonlinear StudiesThe 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
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Open Mathematics, 2016 In this paper, the author introduces parabolic generalized local Morrey spaces and gets the boundedness of a large class of parabolic rough operators on them. The author also establishes the parabolic local Campanato space estimates for their commutators
Gurbuz Ferit
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Some estimates for commutators of bilinear pseudo-differential operators
Open Mathematics, 2022 We obtain a class of commutators of bilinear pseudo-differential operators on products of Hardy spaces by applying the accurate estimates of the Hörmander class. And we also prove another version of these types of commutators on Herz-type spaces.
Yang Yanqi, Tao Shuangping
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Rough Marcinkiewicz integral operators
International 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
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