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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Singular integral and geometry
奇异积分 几何 谐波分析
2023/5/8
The geometric considerations enter in a decisive way in many questions of harmonic analysis. For example, the estimation of the Fourier transform of surface-carried measure, which played a key role in...
Convolutions of singular measures and applications to the Zakharov system
Convolution estimates transversal submanifolds L2 bounds
2010/12/8
Uniform L2-estimates for the convolution of singular measures with respect to transversal submanifolds are proved in arbitrary space dimen-sion. The results of Bennett-Bez are used to extend previous ...
A SINGULAR p-LAPLACIAN ELLIPTIC PROBLEM WITH p-GROWTH IN THE GRADIENT
p-Laplace singularity p-growth existence asymptotic behavior
2008/11/26
In the paper we consider the homogenous Dirichlet boundary value problem for a
singular p-Laplacian elliptic equation with p-growth in the gradient. The existence
and asymptotic behavior of solution...
Singular Integrals and Commutators in Generalized Morrey Spaces
generalized Morrey spaces singular integrals commutators Calder\'on--Zygmund kernel BMO VMO
2007/12/13
We consider a singular an integral operator ${\mathscr K}$ with a variable Calder\'on--Zygmund type kernel $k(x;\xi),$ $x\in {\Bbb R}^n,$ $\xi\in {\Bbb R}^n\sm\{0\},$ satisfying a mixed homogeneity co...
On Rough Singular Integrals Along Surfaces on Product Domains
Singular Integrals Product Domains
2010/2/26
In this paper, we study a class of singular integrals along surfaces on product domains with kernels in L(log L)2(Sn-1 \times Sm-1). We formulate a general theorem concerning the Lp boundedness of the...
Maximal Oscillatory Singular Integrals with Kernels in L log L(Sn-1)
Oscillatory singular integrals Rough kernels Maximal functions
2010/2/26
In this paper, we study the Lp mapping properties of a certain class of maximal oscillatory singular integral operators. We establish the Lp boundedness of our operators provided that their kernels be...
Rough Singular Integrals Along Submanifolds of Finite Type on Product Domains
Singular integrals product domains rough kernels Block spaces
2010/2/26
We establish the Lp boundedness of singular integrals on product domains with rough kernels in L(log L)2 and are supported by subvarieties.
Lp Boundedness of a Class of Singular Integral Operators with Rough Kernels
Singular integrals oscillatory integrals Fourier transform Lp boundedness rough kernels block spaces
2010/3/1
In this paper, we study the Lp mapping properties of singular integral operators with kernels belonging to certain block spaces. These operators have singularities along sets of the form {x=F (|y|)y'}...