TL;DR
This paper introduces an approach to study what is called the canonical conditioner μf, the continuity, Lipschitz continuity, differentiability, and subdifferentiability properties of μf\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb}
The method incorporates a scheme to determine the step size adaptively, by means of a local estimation of the smoothness constant, by means of a local estimation of the smoothness constant, without resorting to line search procedures.
We characterize the well-posedness of the higher order regularity problem in the upper half-space with data in Sobolev Banach function spaces by proving its equivalence to natural weighted estimates for the Hardy–Littlewood maximal operator. The generality of our framework allows for applications to Lebesgue spaces, re...
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