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Korean Mathematical Society
JKMS
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ISSN(Online) 2234-3008
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J. Korean Math. Soc. 2005; 42(3): 499-516
Printed May 1, 2005
Copyright © The Korean Mathematical Society.
Fractional integral along homogeneous curves in the Heisenberg group
Joonil Kim
Chung-Ang University
We obtain the type set for the fractional integral operator along the curve $(t,t^2,\alpha t^3)$ on the three dimensional Heisenberg group when $\alpha\neq\pm 1/6$. The proof is based on the Fourier inversion formula and the angular Littlewood-Paley decompositions in the Heisenberg group in [5].
Keywords: typeset, fractional integral, Heisenberg group, group Fourier trasform
MSC numbers: 42B20, 42B25
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