8 papers
Weighted Inequalities for -Haar multipliers
Daewon Chung, Weiyan Huang, Jean Carlo Moraes +2
In this paper, we provide necessary and sufficient conditions on a triple of weights so that the -Haar multipliers , , %defined in \cite{P} when $σ…
On two weight estimates for dyadic operators
Oleksandra Beznosova, Daewon Chung, Jean Carlo Moraes +1
We provide a quantitative two weight estimate for the dyadic paraproduct under certain conditions on a pair of weights and in , a new class of functio…
Cloaking due to anomalous localized resonance in plasmonic structures of confocal ellipses
Daewon Chung, Hyeonbae Kang, Kyoungsun Kim +1
If a core of dielectric material is coated by a plasmonic structure of negative dielectric material with non-zero loss parameter, then anomalous localized resonance may occur as th…
Invariance Properties of Generalized Polarization Tensors and Design of Shape Descriptors in Three Dimensions
Habib Ammari, Daewon Chung, Hyeonbae Kang +1
We derive transformation formulas for the generalized polarization tensors under rigid motions and scaling in three dimensions, and use them to construct an infinite number of inva…
Sharp bounds for general commutators on weighted Lebesgue spaces
Daewon Chung, Cristina Pereyra, Carlos Perez
We show that if an operator T is bounded on weighted Lebesgue space L^2(w) and obeys a linear bound with respect to the A_2 constant of the weight, then its commutator [b,T] with a…
Sharp estimates for the commutators of the Hilbert, Riesz transforms and the Beurling-Ahlfors operator on weighted Lebesgue spaces
Daewon Chung
We prove that the operator norm on weighted Lebesgue space L2(w) of the commutators of the Hilbert, Riesz and Beurling transforms with a BMO function b depends quadratically on the…