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math.CA2026
On the Two-Weight Problem for One-Sided Maximal Operators in Higher Dimensions
Dinghuai Wang
For the one-sided Hardy--Littlewood maximal operator on , the natural two-weight Muckenhoupt condition was shown by Sawyer in 1986 to characterize the weak $(p…
math.CA2026
Properties and applications of Lorentz--Muckenhoupt classes
Dinghuai Wang, Qian Zhang
In this paper, through the introduction of Lorentz--Muckenhoupt classes, we systematically investigate the boundedness of maximal operators on multiplier weighted Lorentz spaces. A…
math.AP2026
Pointwise endpoint limits for nonlocal operators
Dinghuai Wang
We establish two pointwise endpoint limits for nonlocal operators: one based on normalized integrals and a distributional limit based on weighted weak-type norms. As applications,…