Hong-Rae Cho

activity

20122022

most citedFock-Sobolev spaces and their Carleson measures

9 citations · 10 across the 4 of their papers we have counts for

collaborators

5 papers

math.CV2022

Carleson embedding theorem for an exponential Bergman space on the unit ball

Hong Rae Cho, Han-Wool Lee, Soohyun Park

We characterize the Carleson measures for an exponential Bergman space on the unit ball of $C^{n}$ in terms of the ball induced by the complex Hessian of the logarithm of the…

math.CV2013

Fock-Sobolev spaces of fractional order

Hong Rae Cho, Boo Rim Choe, Hyungwoon Koo

For the full range of index $0 < p \leq \infty$ , real weight $α$ and real Sobolev order $s$ , two types of weighted Fock-Sobolev spaces over $C^{n}$ , $F_{α, s}^{p}$ and $\widetilde…

math.CV2013

Toeplitz operators on Fock-Sobolev type spaces

Hong Rae Cho, Joshua Isralowitz, Jae-Cheon Joo

In this paper, we characterize operator-theoretic properties (boundedness, compactness, and Schatten class membership) of Toeplitz operators with positive measure symbols on weight…

math.CV2012★ 9 cited

Fock-Sobolev spaces and their Carleson measures

Hongrae Cho, Kehe Zhu

We consider the Fock-Sobolev space $F^{p, m}$ consisting of entire functions $f$ such that $f^{(m)}$ , the $m$ -th order derivative of $f$ , is in the Fock space $F^{p}$ . We show that an…

math.FA2012★ 1 cited

Products of Toeplitz operators on the Fock space

Hon Rae Cho, Jong-Do Park, Kehe Zhu

Let $f$ and $g$ be functions, not identically zero, in the Fock space $F^{2}$ of $C_{n}$ . We show that the product $T_{f} T_{g ˉ}$ of Toeplitz operators on $F^{2}$ is bounded if and only…