and Applied Analysis 3 For commuting problem, in 1963, Brown and Halmos 2 showed that two bounded Toeplitz operators TÏ† and TÏˆ on the classical Hardy space commute if and only if i both Ï† and Ïˆ areâ€¦ (More)

and Applied Analysis 3 Theorem3. LetÏ†, ÏˆâˆˆHâˆž(T) orÏ†,Ïˆ âˆˆ H(T), the following statements are equivalent: (1.1) U Ï† and U Ïˆ commute; (1.2) U Ï† and U Ïˆ essentially commute; (1.3) Ï†(zk)Ïˆ(z) = Ï†(z)Ïˆ(z);â€¦ (More)

Received 13 June 2008; Revised 12 October 2008; Accepted 20 November 2008 Recommended by Stevo Stevic This paper shows that if S is a bounded linear operator acting on the weighted Bergman spaces AÎ±â€¦ (More)

The detection of drivers' eyes states is a key part in detecting drivers' vigilance states based on vision analysis. The present methods were not in real-time due to complex algorithm, or were veryâ€¦ (More)

In this paper we give a necessary and sufficient condition for the reducibility of a truncated Toeplitz operator on model spaces induced by a Blaschke product with two zeros. If the truncatedâ€¦ (More)

The Hardy space H(D) can be viewed as a module over the polynomial ring C[z, w] with module action defined by multiplication of functions. The core operator is a bounded self-adjoint integralâ€¦ (More)