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Solution of Singular Integrals in Mathematical Model of Mode I Crack near Strength Mismatched Interface
Crack Opening Displacement Singular Integrals Strength Mismatch Weld Interface Cauchy’s Principal Value Theorem
2013/1/30
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...
Singular integrals on self-similar sets and removability for Lipschitz harmonic functions in Heisenberg groups
Singular integrals self-similar sets removability Heisenberg group
2011/1/20
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...
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...
Some Oscillatory Singular Integrals on Herz-type Spaces (II)
oscillatory singular integral phase lebesgue space
2007/12/10
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...
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.