Chun-Yen Shen

activity

20072026

most citedTwo Weight Inequality for the Hilbert Transform: A Real Variable Characterization, II

103 citations · 370 across the 51 of their papers we have counts for

collaborators

Showing 2009Show all

3 papers · 1 filter

math.CA2009

Algebraic methods in sum-product phenomena

Chun-Yen Shen

We classify the polynomials $f (x, y) \in R [x, y]$ such that given any finite set $A \subset R$ if $∣ A + A ∣$ is small, then $∣ f (A, A) ∣$ is large. In particular, the follo…

math.NT2009★ 6 cited

Fourier analysis and expanding phenomena in finite fields

Derrick Hart, Liangpan Li, Chun-Yen Shen

In this paper the authors study set expansion in finite fields. Fourier analytic proofs are given for several results recently obtained by Solymosi, Vinh and Vu using spectral grap…

math.CA2009★ 1 cited

Extension and averaging operators for finite fields

Doowon Koh, Chun-Yen Shen

In this paper we study $L^{p} - L^{r}$ estimates of both extension operators and averaging operators associated with the algebraic variety $S = {x \in F_{q}^{d} : Q (x) = 0}$ where $Q(x…