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math.CA2026
Sharp constants in the one-sided John-Nirenberg inequality for functions of bounded lower oscillation
Chao Zhang
We determine the sharp constants in the one-sided John-Nirenberg inequality for functions of bounded lower oscillation on an interval. More precisely, if $f\in\BLO(I_0)$, then $$ \…
math.FA2026
Noncommutative maximal differential transforms associated to averaging operators
Shaohong Liang, Yu Wang, Bang Xu +1
In this paper, we establish the noncommutative maximal weak type and strong type estimates for the family of operators , defined by $$T_Nf=\sum_{k=N_1}^{N_…
math.AP2026
New characterizations of BLO spaces by heat semigroups and applications
Shaohong Liang, Dongyong Yang, Chao Zhang
In this paper, we give two new characterizations of the bounded lower oscillation (BLO) space by using the Gaussian heat semigroup. Using these characterizations, we prove the boun…