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Search: authors:"Maocai Wang"

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Difference of composition operators on weighted Bergman spaces over the half-plane

Recently, the bounded, compact and Hilbert-Schmidt difference of composition operators on the Bergman spaces over the half-plane are characterized in (Choe et al. in Trans. Am. Math. Soc., 2016 , in press). Motivated by this, we give a sufficient condition when two composition operators C φ and C ψ are in the same path component under the operator norm topology and show that there ...

Compact differences of weighted composition operators on the weighted Bergman spaces

In this paper, we consider the compact differences of weighted composition operators on the standard weighted Bergman spaces. Some necessary and sufficient conditions for the differences of weighted composition operators to be compact are given, which extends Moorhouse’s results in (J. Funct. Anal. 219:70-92, 2005 ). MSC: 47B33, 30D55, 46E15.

Constructing Pairing-Friendly Elliptic Curves under Embedding Degree 1 for Securing Critical Infrastructures

Information confidentiality is an essential requirement for cyber security in critical infrastructure. Identity-based cryptography, an increasingly popular branch of cryptography, is widely used to protect the information confidentiality in the critical infrastructure sector due to the ability to directly compute the user’s public key based on the user’s identity. However, ...