Operators generated by wavelets and their boundedness from Hp(Rn) into Lp(Rn)
Roc\'io D\'iaz, Iv\'an Medri, Pablo Rocha
TL;DR
This paper investigates the boundedness of wavelet-generated operators from Hardy spaces Hp(Rn) to Lebesgue spaces Lp(Rn), expanding understanding of their functional analysis properties.
Contribution
It introduces new results on the boundedness of operators generated by wavelets and measures from Hp(Rn) to Lp(Rn), a novel analysis in harmonic analysis.
Findings
Operators are bounded from Hp(Rn) to Lp(Rn) under certain conditions
Wavelet-generated operators exhibit specific boundedness properties
Results extend previous knowledge on wavelet operator boundedness
Abstract
We study the boundedness from Hp(Rn) into Lp(Rn) of certain operators generated by wavelets and Borel measures.
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Taxonomy
TopicsNumerical methods in inverse problems · Image and Signal Denoising Methods · Advanced Mathematical Modeling in Engineering