Growth Spaces and Growth Norm Estimates for on Convex Domains of Finite Type

Abstract

Abstract. We consider the growth norm of a measurable function f defined bywhere δ D (z) denote the distance from z to ∂D. We prove some optimal growth norm estimates for∂ on convex domains of finite type.

Weighted Lipschitz estimates for ∂¯ on convex domains of finite type

“…Similarly as in [2,7], it is enough to consider the case that z and ζ are in a neighborhood of ∂ D and ζ ∈ B(z, γ ).…”