FRACTIONAL INTEGRAL ALONG HOMOGENEOUS CURVES IN THE HEISENBERG GROUP

Title & Authors
FRACTIONAL INTEGRAL ALONG HOMOGENEOUS CURVES IN THE HEISENBERG GROUP
KIM JOONIL;

Abstract
We obtain the type set for the fractional integral operator along the curve $\small{(t,t^2,\;{\alpha}t^3)}$ on the three dimensional Heisenberg group when $\small{\alpha\neq{\pm}1/6}$. 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;
Language
English
Cited by
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