Orlicz spaces, $\alpha $-decreasing functions, and the $\Delta _2$ condition
Volume 101 / 2004
Colloquium Mathematicum 101 (2004), 113-120
MSC: Primary 26A12; Secondary 26A48.
DOI: 10.4064/cm101-1-7
Abstract
We prove some quantitatively sharp estimates concerning the $\Delta _2$ and $\nabla _2$ conditions for functions which generalize known ones. The sharp forms arise in the connection between Orlicz space theory and the theory of elliptic partial differential equations.
