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math.FA2026
The Sharp Scale Inequality for the Schatten Trace Class
Yong Jiao, Sijie Luo, Lian Wu
In this paper, we establish the metric cotype inequality for the Schatten trace class at the optimal order of the scaling parameter. More precisely, for every integer $…
cs.LO2026
Towards Finite Satisfiability of PDL with Loops
Bartosz Jan Bednarczyk, Mikołaj Swoboda
Propositional Dynamic Logic (PDL) is a well-established modal logic of programs. Among its many extensions, the loop operator stands out for capturing the cyclic behaviour of progr…
math.PR2026
Sharp weighted norm estimates for martingale square functions
Wei Chen, Yong Jiao, Xingyan Quan +1
This paper is devoted to the study of quantitative weighted norm estimates for martingale square functions in both scalar-weighted and matrix-weighted settings. In particular, we i…