8 papers
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 $$ \…
Noncommutative maximal differential transforms associated to averaging operators
Shaohong Liang, Yu Wang, Bang Xu +1
In this paper, we establish the noncommutative maximal weak type and strong type estimates for the family of operators , defined by $$T_Nf=\sum_{k=N_1}^{N_…
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…
Regularity theory for degenerate fully nonlinear nonlocal equations with a Hamiltonian term
Yuzhou Fang, Juha Kinnunen, Chao Zhang
We investigate a class of degenerate fully nonlinear nonlocal elliptic equations with Hamiltonian terms. By precisely characterizing the interaction between the degeneracy law of e…
Sobolev regularity for the perturbed fractional 1-Laplace equations in the subquadratic case
Dingding Li, Chao Zhang
This work investigates the Sobolev regularity of solutions to perturbed fractional 1-Laplace equations. Under the assumption that weak solutions are locally bounded, we establish t…
Sobolev regularity for the nonlocal -Laplace equations in the superquadratic case
Dingding Li, Chao Zhang
We investigate the interior Sobolev regularity of weak solutions to the nonlocal -Laplace equations in the superquadratic case . As a product, the explicit Hölder…