Abstract
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.
Citation
Krzysztof Stempak. José Luis Torrea. "BMO results for operators associated to Hermite expansions." Illinois J. Math. 49 (4) 1111 - 1131, Winter 2005. https://doi.org/10.1215/ijm/1258138129
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