Qingying Xue

On multilinear fractional strong maximal operator associated with rectangles and multiple weights

In this paper, the multilinear fractional strong maximal operator

-Boundedness of Marcinkiewicz Integrals along Surfaces with Variable Kernels: Another Sufficient Condition

\mathcal{M}_{\mathcal{R},\alpha}

On the bilinear square Fourier multiplier operators and related multilinear square functions

associated with rectangles and corresponding multiple weights

Endpoint Estimates for a Class of Littlewood-Paley Operators with Nondoubling Measures

A_{(\vec{p},q),\mathcal{R}}

Existence and boundedness of parametrized Marcinkiewicz integral with rough kernel on Campanato spaces

are introduced. Under the dyadic reverse doubling condition, a necessary and sufficient condition for two-weight inequalities is given. As consequences, we first obtain a necessary and sufficient condition for one-weight inequalities. Then, we give a new proof for the weighted estimates of multilinear fractional maximal operator

Estimates for iterated commutators of multilinear square fucntions with Dini-type kernels

\mathcal{M}_\alpha

Non-homogeneous Tb Theorem for Bi-parameter g-function

associated with cubes and multilinear fractional integral operator

Endpoint estimates for the commutators of multilinear Calderón-Zygmund operators with Dini type kernels

\mathcal{I}_{\alpha}

On the boundedness of fractional type Marcinkiewicz integral operators

, which is quite different and simple from the proof known before.

Weighted Trudinger inequality associated with rough multilinear fractional type operators

We give the estimates for the Marcinkiewicz integral with rough variable kernels associated to surfaces. More precisely, we give some other sufficient conditions which are different from the conditions known before to warrant that the-boundedness holds. As corollaries of this result, we show that similar properties still hold for parametric Littlewood-Paley area integral and parametric functions with rough variable kernels. Some of the results are extensions of some known results.