Hankel Multipliers of Laplace Transform Type
J. J. Betancor, A. J. Castro, J. Curbelo
TL;DR
This paper investigates the boundedness properties of Hankel multipliers of Laplace transform type and imaginary powers of Bessel operators on the domain (0,1)^n, establishing weak type (1,1) results and Lp-boundedness.
Contribution
It proves weak type (1,1) for Hankel multipliers of Laplace transform type and analyzes Lp-boundedness of Bessel operator powers on (0,1)^n.
Findings
Hankel multipliers of Laplace transform type are of weak type (1,1)
Lp-boundedness of imaginary powers of Bessel operators is established
Provides new insights into harmonic analysis on (0,1)^n
Abstract
In this paper we prove that the Hankel multipliers of Laplace transform type on are of weak type (1,1). Also we analyze Lp-boundedness properties for the imaginary powers of Bessel operator on .
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Differential Equations and Boundary Problems · Mathematical Analysis and Transform Methods