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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.