𝔖 Bobbio Scriptorium
✦   LIBER   ✦

An optimal theorem for the spherical maximal operator on the Heisenberg group

✍ Scribed by E. K. Narayanan; S. Thangavelu


Publisher
The Hebrew University Magnes Press
Year
2004
Tongue
English
Weight
549 KB
Volume
144
Category
Article
ISSN
0021-2172

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Tauberian theorem for m-spherical transf
✍ Der-Chen Chang; Wayne M. Eby πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 304 KB

## Abstract In this paper we prove a Tauberian type theorem for the space __L__ $ ^1 \_{\bf m} $(H~__n__~ ). This theorem gives sufficient conditions for a __L__ $ ^1 \_{\bf 0} $(H~__n__~ ) submodule __J__ βŠ‚ __L__ $ ^1 \_{\bf m} $(H~__n__~ ) to make up all of __L__ $ ^1 \_{\bf m} $(H~__n__~ ). As a

Injectivity Sets for Spherical Means on
✍ E.K Narayanan; S Thangavelu πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 133 KB

In this paper we prove that cylinders of the form R = S R Γ— , where S R is the sphere z ∈ n z = R , are injectivity sets for the spherical mean value operator on the Heisenberg group H n in L p spaces. We prove this result as a consequence of a uniqueness theorem for the heat equation associated to