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Ces\`aro operators in the Bergman spaces with exponential weight on the unit ball
조홍래,박인영 대한수학회 2017 대한수학회보 Vol.54 No.2
Let $A^2_{\alpha,\beta}(\Bn)$ denote the space of holomorphic functions that are $L^2$ with respect to a weight of form $\omega_{\alpha,\beta}(z)=(1-|z|)^\alpha e^{-\frac{\beta}{1-|z|}}$, where $\alpha\in\mathbb R$ and $\beta>0$ on the unit ball $\Bn$. We obtain some results for the boundedness and compactness of Ces\`aro operator on $A^2_{\alpha,\beta}(\Bn)$.
Toeplitz operators on generalized Fock spaces
조홍래 대한수학회 2016 대한수학회보 Vol.53 No.3
We study Toeplitz operators $T_\nu$ on generalized Fock spaces $F^2_\phi$ with a locally finite positive Borel measures $\nu$ as symbols. We characterize operator-theoretic properties (boundedness and compactness) of $T_\nu$ in terms of the Fock-Carleson measure and the Berezin transform $\widetilde\nu$.
조홍래,김근필,공윤주,홍수길 한국분자세포생물학회 2016 Molecules and cells Vol.39 No.7
During meiosis, exchange of DNA segments occurs be-tween paired homologous chromosomes in order to pro-duce recombinant chromosomes, helping to increase genetic diversity within a species. This genetic exchange process is tightly controlled by the eukaryotic RecA homologs Rad51 and Dmc1, which are involved in strand exchange of meiotic recombination, with Rad51 participating specifically in mitotic recombination. Meiotic recombination requires an interaction between homologous chromosomes to repair programmed double-strand breaks (DSBs). In this study, we investigated the budding yeast meiosis-specific proteins Hop2 and Sae3, which function in the Dmc1-dependent pathway. This pathway mediates the homology searching and strand invasion processes. Mek1 kinase participates in switching meiotic recombination from sister bias to homolog bias after DSB formation. In the absence of Hop2 and Sae3, DSBs were produced normally, but showed defects in the DSB-to-single-end invasion transition mediated by Dmc1 and auxiliary factors, and mutant strains failed to complete proper chromosome segregation. However, in the absence of Mek1 kinase activity, Rad51-dependent recombination progressed via sister bias in the hop2 or sae3 mutants, even in the presence of Dmc1. Thus, Hop2 and Sae3 actively modulate Dmc1-dependent recombination, effectively progressing homolog bias, a process requiring Mek1 kinase activation.