Convolution Operators with Singular Measures of Fractional Type on the Heisenberg Group
Tom\'as Godoy, Pablo Rocha
TL;DR
This paper investigates the properties of convolution operators associated with singular measures of fractional type on the Heisenberg group, aiming to understand their behavior and boundedness.
Contribution
It introduces a new analysis of singular measures of fractional type on the Heisenberg group and characterizes their type set.
Findings
Characterization of the type set for these measures
Identification of boundedness conditions for convolution operators
Extension of classical results to the Heisenberg group context
Abstract
We study the type set of singular measures of fractional type on the Heisenbrg group.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · advanced mathematical theories · Mathematical Analysis and Transform Methods