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math.FA2024
Weighted weak estimate for non-commutative square function
Samya Kumar Ray, Diptesh Saha
In this article, we consider weighted weak type inequality for certain square function associated to differences of ball averages and martingale in the non-commutative sett…
math.OA2024
Maximal Inequality Associated to Doubling Condition for State Preserving Actions
Panchugopal Bikram, Diptesh Saha
In this article, we prove maximal inequality and ergodic theorems for state preserving actions on von Neumann algebra by an amenable, locally compact, second countable group equipp…