5 citations · 5 across the 6 of their papers we have counts for
6 papers
Strong ultra-regularity properties for positive elements in the twisted convolutions
Yuanyuan Chen
We show that positive elements with respect to the twisted convolutions, belonging to some ultra-test function space of certain order at origin, belong to the ultra-test function s…
The Weyl product on quasi-Banach modulation spaces
Yuanyuan Chen, Joachim Toft, Patrik Wahlberg
We study the bilinear Weyl product acting on quasi-Banach modulation spaces. We find sufficient conditions for continuity of the Weyl product and we derive necessary conditions. Th…
Factorizations and singular value estimates of operators with Gelfand-Shilov and Pilipović kernels
Yuanyuan Chen, Mikael Signahl, Joachim Toft
We prove that any linear operator with kernel in a Pilipović or Gelfand-Shilov space can be factorized by two operators in the same class. We also give links on numerical approxima…
Boundedness for Gevrey and Gelfand-Shilov kernels to positive operators
Yuanyuan Chen, Joachim Toft
We study properties of positive operators on Gelfand-Shilov spaces, and distributions which are positive with respect to non-commutative convolutions. We prove that boundedness of…
Weak bimonoids in duoidal categories
Yuanyuan Chen, Gabriella Böhm
Weak bimonoids in duoidal categories are introduced. They provide a common generalization of bimonoids in duoidal categories and of weak bimonoids in braided monoidal categories. U…
On Hopf monoids in duoidal categories
Gabriella Böhm, Yuanyuan Chen, Liangyun Zhang
Aguiar and Mahajan's bimonoids A in a duoidal category M are studied. Under certain assumptions on M, the Fundamental Theorem of Hopf Modules is shown to hold for A if and only if…