Sentence examples for be a singular integral from inspiring English sources

Let b be a locally integrable function on R n and T be a singular integral operator with variable Calderón-Zygmund kernels.

Let T be a singular integral operator with non-smooth kernel as given in Definition  2.

Let T be a singular integral operator as in Definition  3.

Let T be a singular integral operator as in Definition  2, the sequence { C k } ∈ l 1.

Theorem 1 Let T be a singular integral operator as in Definition  3, 0 < δ < 1 and b ∈ B M O ( R n ).

Theorem 2 Let T be a singular integral operator as in Definition  3, p ∈ M ( R n ) and b ∈ B M O ( R n ).

When (omega=-1), (2.2) is a singular integral.

We say that T is a singular integral operator with non-smooth kernel if it satisfies the following conditions.

Theorem 3 If T is a singular integral operator with non-smooth kernel as given in Definition  2, let w ∈ A 1, D α b j ∈ BMO ( R n ) for all α with | α | = m j and j = 1, …, l.

Theorem 1 If T is a singular integral operator with non-smooth kernel as given in Definition  2, let D α b j ∈ BMO ( R n ) for all α with | α | = m j and j = 1, …, l.

Suppose T is a singular integral operator whose kernel is a variable kernel with mixed homogeneity; the purpose of this paper is to study the continuity of the operator in weighted Morrey spaces L p, κ , 1 ≤ p < ∞, 0 < κ < 1.