The Anh Bui

collaborators

4 papers

math.FA2012

New class of multiple weights and new weighted inequalities for multilinear operators

The Anh Bui

In this paper, we first introduce the new class of multiple weights $A^\vc_{\vec{p}}$ which is larger than the class of multiple weights in \cite{LOPTG}. Then, using this class of…

math.CA2012

Weighted norm inequalities for pseudo-differential operators and their commutators

The Anh Bui

This paper is dedicated to study weighted $L^{p}$ inequalities for pseudo-differential operators with amplitudes and their commutators by using the new class of weights $A_p^\vc$ and…

math.CA2012

Weighted norm inequalities for spectral multipliers without Gaussian estimates

The Anh Bui

Let $L$ be a non-negative self-adjoint operator on $L^{2} (R^{n})$ . By spectral theory, we can define the operator $F (L)$ , which is bounded on $L^{2} (X)$ , for any bounded Borel f…

math.CA2012

Weighted estimates for commutators of some singular integrals related to Schrödinger operators

The Anh Bui

Let $L = - Δ + V$ with non-negative potential $V$ satisfying some appropriate reverse Hölder inequality. In this paper, we study the boundedness of the commutators of some singular inte…