G. Hong

activity

20112023

most citedCalderón-Zygmund operators associated to matrix-valued kernels

25 citations · 109 across the 37 of their papers we have counts for

collaborators

Showing 2014 · math.CAShow all

2 papers · 2 filters

math.CA2014★ 1 cited

The behaviour of square functions from ergodic theory in $L^{\infty}$

Guixiang Hong

In this paper, we analyze carefully the behaviour in $L^{\infty} (R)$ of the square functions $S$ and $S_{I}$ 's, originating from ergodic theory. Firstly, we show that…

math.CA2014★ 1 cited

Vector-valued Hilbert transforms along curves

Guixiang Hong, Honghai Liu

In this paper, we show that Hilbert transforms along some curves are bounded on $L^{p} (R^{n}; X)$ for some $1 < p < \infty$ and some UMD spaces $X$ . In particular, we prove that t…

The behaviour of square functions from ergodic theory in L∞

Vector-valued Hilbert transforms along curves

The behaviour of square functions from ergodic theory in $L^{\infty}$