2 papers
math.AP2025
Self-improving property for certain degenerate functionals with generalized Orlicz growth
Vertti Hietanen, Mikyoung Lee
We investigate a self-improving property of variational integrals in a weighted framework under generalized Orlicz growth conditions. Assuming that the weight belongs to an appropr…
math.FA2024
Sufficient condition for boundedness of maximal operator on weighted generalized Orlicz spaces
Vertti Hietanen
We prove that the Hardy-Littlewood maximal operator is bounded in the weighted generalized Orlicz space if the weight satisfies the classical Muckenhoupt condition and $t \to…