Full paper in PDF format:
$%H. Aimar, I. Gómez, and B. Iaffei, Maximal function estimates for
the parabolic mean value kernel, Rev. Mat. Complut. 21 (2008), no. 2, 519–527.%$
Maximal Function Estimates for
the Parabolic Mean Value Kernel
Hugo AIMAR, Ivana GÓMEZ,
and Bibiana IAFFEI
| Instituto de Matemática Aplicada del Litoral |
| Departamento de Matemática, FIQ |
| CONICET — UNL |
| Güemes 3450, S3000GLN Santa Fe — Argentina |
| haimar@santafe-conicet.gov.ar |
| | Instituto de Matemática Aplicada del Litoral |
| Departamento de Matemática, FICH |
| CONICET — UNL |
| Güemes 3450, S3000GLN Santa Fe — Argentina |
| ivanagomez@santafe-conicet.gov.ar |
|
| |
|
| Instituto de Matemática Aplicada del Litoral |
| Departamento de Matemática, FHUC |
| CONICET — UNL |
| Güemes 3450, S3000GLN Santa Fe — Argentina |
| biaffei@santafe-conicet.gov.ar |
| |
| |
|
| |
Received: August 1, 2007
Accepted: December 12, 2007
We obtain parabolic and one-sided maximal function estimates for nonisotropic
dilations of the mean value kernel for the heat equation
where 
is the heat ball given by
Key words: one-sided parabolic maximal function, heat equation, mean value formula.
2000 Mathematics Subject Classification: 42B25, 35K05.