[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2005.42.3.499

FRACTIONAL INTEGRAL ALONG HOMOGENEOUS CURVES IN THE HEISENBERG GROUP

KIM JOONIL (Department of Mathematics Chung-Ang University)

Publication Information

Journal of the Korean Mathematical Society / v.42, no.3, 2005 , pp. 499-516 More about this Journal

Abstract

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;

Citations & Related Records

Times Cited By Web Of Science : 0 (Related Records In Web of Science)
Times Cited By SCOPUS : 0

Reference

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