BMO results for operators associated to Hermite expansions

Stempak, Krzysztof; Torrea, José Luis

Illinois J. Math., Tome 49 (2005) no. 2, p. 1111-1131 / Harvested from Project Euclid

Résumé

We prove $BMO$ and $L^\infty$ results for operators associated to the heat-diffusion and Poisson semigroups in the multi-dimensional Hermite function expansions setting. These include maximal functions and square function operators. In the proof a technique of vector valued Calderón-Zygmund operators is used.

Publié le : 2005-10-15
Classification: 42B20, 42C10

@article{1258138129,
     author = {Stempak, Krzysztof and Torrea, Jos\'e Luis},
     title = {BMO results for operators associated to Hermite expansions},
     journal = {Illinois J. Math.},
     volume = {49},
     number = {2},
     year = {2005},
     pages = { 1111-1131},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258138129}
}

Stempak, Krzysztof; Torrea, José Luis. BMO results for operators associated to Hermite expansions. Illinois J. Math., Tome 49 (2005) no. 2, pp.  1111-1131. http://gdmltest.u-ga.fr/item/1258138129/