Lp-improving properties of measures supported on curves on the Heisenberg group

Studia Mathematica

Volumn 132, Issue 2, 1999, Pages 179-201

  Secco, Silvia ^a  

^a POLITECNICO DI TORINO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037714740     PISSN: 00393223     EISSN: None     Source Type: Journal    
DOI: 10.4064/sm-132-2-179-201     Document Type: Article

References (8)

1. W. Drury, Degenerate curves and harmonic analysis, Math. Proc. Cambridge Philos. Soc. 108 (1990), 89-96.
2. A. M. Mantero, Asymmetry of convolution operators on the Heisenberg group, Boll. Un. Mat. Ital. A (6) 4 (1985), 19-27.
3. D. Oberlin, Convolution estimates for some measures on curves, Proc. Amer. Math. Soc. 99 (1987), 56-60.
4. Y. Pan, A remark on convolution with measures supported on curves, Canad. Math. Bull. 36 (1993), 245-250.
5. _, Convolution estimates for some degenerate curves, Math. Proc. Cambridge Philos. Soc. 116 (1994), 143-146.
6. p-improving properties for some measures supported on curves, preprint.
7. F. Ricci and E. M. Stein, Harmonic analysis on nilpotent groups and singular integrals. III. Fractional integration along manifolds, J. Funct. Anal. 86 (1989), 360-389.
8. 3 , preprint.