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Characteristics of Mode I crack near the interface of elasticity matched but plasticity and strength mismatched materials differ from those of the crack in a homogenous body. Interface body of differe...
In this paper we study singular integrals on small (that is, measure zero and lower than full dimensional) subsets of metric groups. The main examples of the groups we have in mind are Euclidean space...
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...
In this paper, the authors prove that some oscillatory singular integral operators of non-convolution type with non-polynomial phases are bounded from the Herz-type Hardy spaces to the Herz spaces and...
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...
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...
We establish the Lp boundedness of singular integrals on product domains with rough kernels in L(log L)2 and are supported by subvarieties.

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