Results 1 to 10 of about 597,354 (286)
Boundedness of Marcinkiewicz integrals with rough kernels on Musielak-Orlicz Hardy spaces [PDF]
Journal of Inequalities and Applications, 2017 Let φ : R n × [ 0 , ∞ ) → [ 0 , ∞ ) $\varphi:\mathbb{R}^{n}\times[0, \infty) \to[0, \infty)$ satisfy that φ ( x , ⋅ ) $\varphi(x, \cdot)$ , for any given x ∈ R n $x\in\mathbb{R}^{n}$ , is an Orlicz function and φ ( ⋅ , t ) $\varphi(\cdot, t)$ is a ...
Bo Li, Minfeng Liao, Baode Li
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Lp Bounds for the Commutators of Oscillatory Singular Integrals with Rough Kernels [PDF]
Abstract and Applied Analysis, 2014 We establish the Lp boundedness for some commutators of oscillatory singular integrals with the kernel condition which was introduced by Grafakos and Stefanov. Our theorems contain various conditions on the phase function.
Yanping Chen, Kai Zhu
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Morrey Meets Herz with Variable Exponent and Applications to Commutators of Homogeneous Fractional Integrals with Rough Kernels [PDF]
Journal of Function Spaces, 2017 We define the new central Morrey space with variable exponent and investigate its relation to the Morrey-Herz spaces with variable exponent. As applications, we obtain the boundedness of the homogeneous fractional integral operator TΩ,σ and its ...
Hongbin Wang, Jiajia Wang, Zunwei Fu
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A note on maximal singular integrals with rough kernels
Journal of Inequalities and Applications, 2020 In this note we study the maximal singular integral operators associated with a homogeneous mapping with rough kernels as well as the corresponding maximal operators.
Xiao Zhang, Feng Liu
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Noncommutative maximal operators with rough kernels [PDF]
Analysis & PDE, 2019 This paper is devoted to the study of noncommutative maximal operators with rough kernels. More precisely, we prove the weak type $(1,1)$ boundedness for noncommutative maximal operator with a rough kernel. Then, via the noncommutative Marcinkiewicz type
Xudong Lai
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Vector‐valued singular integral operators with rough kernels [PDF]
Mathematische Nachrichten, 2023 In this paper, we establish a weak‐type (1,1) boundedness criterion for vector‐valued singular integral operators with rough kernels. As applications, we obtain weak‐type (1,1) bounds for the convolution singular integral operator taking value in the ...
Xudong Lai
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Ergodic Control of a Class of Jump Diffusions with Finite Lévy Measures and Rough Kernels [PDF]
SIAM Journal of Control and Optimization, 2019 We study the ergodic control problem for a class of jump diffusions in $\mathbb{R}^{d}$ which are controlled through the drift with bounded controls.
Ari Arapostathis +3 more
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Demonstratio Mathematica, 2020 In this article, we study the generalized parabolic parametric Marcinkiewicz integral operators ℳΩ,h,Φ,λ(r){ {\mathcal M} }_{{\Omega },h,{\Phi },\lambda }^{(r)} related to polynomial compound curves.
Ali Mohammed, Katatbeh Qutaibeh
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Estimates for Generalized Parabolic Marcinkiewicz Integrals with Rough Kernels on Product Domains
Axioms, 2023 We prove Lp estimates of a class of generalized Marcinkiewicz integral operators with mixed homogeneity on product domains. By using these estimates along with an extrapolation argument, we obtain the boundedness of our operators under very weak ...
Mohammed Ali, Hussain Al-Qassem
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Weighted inequalities for some integral operators with rough kernels
Open Mathematics, 2014 In this paper we study integral operators with kernels $$K(x,y) = k_1 (x - A_1 y) \cdots k_m \left( {x - A_m y} \right),$$$$k_i \left( x \right) = {{\Omega _i \left( x \right)} \mathord{\left/ {\vphantom {{\Omega _i \left( x \right)} {\left| x \right|}}}
Riveros María, Urciuolo Marta
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