Results 11 to 20 of about 38,177 (303)
Weighted inequalities for some integral operators with rough kernels
Open Mathematics, 2014 Abstract In this paper we study integral operators with kernels $$K(x,y) = k_1 (x - A_1 y) \cdots k_m \left( {x - A_m y} \right),$$ $$k_i \left( x \right) = {{\Omega _i \left( x \right)} \mathord{\left/ {\vphantom {{\Omega _i \left( x \right)} {\left| x \right|}}} \right.
Riveros María, Urciuolo Marta
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A sparse domination for the Marcinkiewicz integral with rough kernel and applications [PDF]
Publicationes Mathematicae Debrecen, 2019 Let $ $ be homogeneous of degree zero, have mean value zero and integrable on the unit sphere, and $ _ $ be the higher-dimensional Marcinkiewicz integral defined by $$ _ (f)(x)= \Big(\int_0^\infty\Big|\int_{|x-y|\leq t}\frac{ (x-y)}{|x-y|^{n-1}}f(y)dy\Big|^2\frac{dt}{t^3}\Big)^{1/2}.
Xiangxing Tao, Guooen Hu
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On multilinear oscillatory singular integrals with rough kernels
Journal of Mathematical Analysis and Applications, 2004 AbstractIn this paper, for the multilinear oscillatory singular integral operators TA defined by TAf(x)=p.v.∫RneiP(x,y)Ω(x−y)|x−y|n+mRm+1(A;x,y)f(y)dy,n⩾2, where P(x,y) is a nontrivial and real-valued polynomial defined on Rn×Rn, Ω(x) is homogeneous of degree zero on Rn, A(x) has derivatives of order m in Λ̇β ...
Huoxiong Wu
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An endpoint estimate for the maximal Calder\'on commutator with rough kernel [PDF]
Mathematische Annalen25 ...
Guoen Hu +3 more
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Accurate Rough Terrain Estimation with Space-Carving Kernels [PDF]
Robotics: Science and Systems V, 2010 Accurate terrain estimation is critical for autonomous offroad navigation. Reconstruction of a 3D surface allows rough and hilly ground to be represented, yielding faster driving and better planning and control. However, data from a 3D sensor samples the terrain unevenly, quickly becoming sparse at longer ranges and containing large voids because of ...
Raia Hadsell +3 more
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Iterated commutators of multilinear fractional operators with rough kernels [PDF]
Journal of Inequalities and Applications, 2012 Let Ω ∈ L s (smn-1) for some s > 1 be a homogeneous function of degree zero on R mn . We obtain the iterated commutator of multilinear fractional operator is
Zengyan Si, Yanlong Shi
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AIMS Mathematics, 2023 In this paper, we obtain some boundedness of the n-dimensional fractional Hardy operators with rough kernels and their commutators on central Morrey spaces with variable exponents.
Chenchen Niu, Hongbin Wang
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Foods, 2022 A process of removing thinner kernels of rough rice, i.e., thickness fraction process, has been suggested as a method for increasing milling yields in the rice industry.
Sara E. Jarma Arroyo +2 more
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Nonlocal filtration equations with rough kernels [PDF]
Nonlinear Analysis, 2016 We study the nonlinear and nonlocal Cauchy problem \[ \partial_{t}u+\mathcal{L} (u)=0 \quad\text{in }\mathbb{R}^{N}\times\mathbb{R}_+,\qquad u(\cdot,0)=u_0, \] where $\mathcal{L}$ is a L vy-type nonlocal operator with a kernel having a singularity at the origin as that of the fractional Laplacian. The nonlinearity $ $ is nondecreasing and continuous,
Arturo de Pablo +2 more
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Estimates for certain class of rough generalized Marcinkiewicz functions along submanifolds
Open Mathematics, 2023 We establish certain delicate Lp{L}^{p} bounds for a class of generalized Marcinkiewicz integral operators along submanifolds with rough kernels.
Ali Mohammed, Al-Qassem Hussain
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