Generalized pointwise H\"older spaces

TL;DR

This paper introduces a generalized framework for pointwise H"older spaces, providing alternative definitions, exploring their connections with wavelets, and defining a generalized H"older exponent.

Contribution

It presents a novel generalization of pointwise H"older spaces, linking them with wavelet theory and defining a new generalized H"older exponent.

Findings

New definitions of generalized pointwise H"older spaces

Relationship established between these spaces and wavelet analysis

Introduction of a generalized H"older exponent

Abstract

In this paper, we introduce a generalization of the pointwise H\"older spaces. We give alternative definitions of these spaces, look at their relationship with the wavelets and introduce a notion of generalized H\"older exponent.