On singular integrals of Calderón-type in R and BMO.
Steve Hofmann (1994)
Revista Matemática Iberoamericana
Similarity:
We prove Lp (and weighted Lp) bounds for singular integrals of the form p.v. ∫Rn E (A(x) - A(y) / |x - y|) (Ω(x - y) / |x - y|n) f(y) dy, where E(t) = cos t if Ω is odd, and E(t) = sin t if Ω is even, and where ∇ A ∈ BMO. Even in the case that Ω is smooth, the theory of singular integrals with rough kernels plays a key role in the...