Xie Xian-hu
Abstract
It is to study the boundedness of a class of special rough singular operators under the conditions of b∈Δ γ(γ≥2) and Ω(y') ∈L1(Sn- 1),which improves predecessors' conclusion. The operators is as follows: TΩ,α,b f(x) = P. V∫Rn b(y) Ω(y')y-n-αf(x- y) dy.
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It is to study the boundedness of a class of special rough singular operators under the conditions of b∈Δ γ(γ≥2) and Ω(y') ∈L1(Sn- 1),which improves predecessors' conclusion. The operators is as follows: TΩ,α,b f(x) = P. V∫Rn b(y) Ω(y')y-n-αf(x- y) dy.
Key concepts: Mathematics, Operator (biology), Pure mathematics, Class (philosophy), Singular integral operators, Maximal operator, Combinatorics, Mathematical analysis