Certain properties of continuous fractional wavelet transform on Hardy space and Morrey space

TL;DR

This paper introduces a new class of continuous fractional wavelet transform and explores its properties within Hardy and Morrey spaces, expanding the theoretical framework of wavelet analysis.

Contribution

It defines a novel continuous fractional wavelet transform and extends existing theories to Hardy and Morrey spaces.

Findings

The new CFrWT generalizes previous wavelet transforms.

It establishes properties of CFrWT in Hardy space.

It explores CFrWT in Morrey space.

Abstract

In this paper we define a new class of continuous fractional wavelet transform (CFrWT) and study its properties in Hardy space and Morrey space. The theory developed generalize and complement some of already existing results.