Weighted estimates for commutators of one-sided oscillatory integral operators

Abstract

In this paper, we study the weighted norm inequalities for commutators formed by a class of one-sided oscillatory integral operators and functions in one-sided BMO spaces.

Weak and strong type weighted estimates for multilinear Calderón–Zygmund operators

“…The weighted estimate for operators is an interesting topic in harmonic analysis. And it has attracted many authors in this area [4,9,18,20,24,25]. In this paper, we study the weighted estimates for multilinear Calderón-Zygmund operators with multiple A P weights.…”

Weighted norm inequalities for fractional oscillatory integrals and applications

“…(2) Suppose 0 < α < n, 1 < p < n α < ∞, and 1 p − 1 q = α n . Then for w ∈ A (p,q) , λ > 0, there exists η > 0 such that e λb ∈ A (p,q) Lu [5] first study the L p -boundedness for T 1 0,b when b ∈ BMO(R n ) while the first author of this paper set up the weighted version of the L p -boundedness for T b in [13]. In 2005, Wu [17] established the norm estimates for T m α,b when K α is rough kernel.…”