We study the weak and strong type boundedness of maximal heat{diusion operators associated with the system of generalized Hermite polynomials and with two dierent systems of generalized Hermite functions. We also give a necessary background to dene Sobolev spaces in this context.
Maximal operators associated with generalized Hermite polynomials and function expasions
SASSO, EMANUELA;
2013-01-01
Abstract
We study the weak and strong type boundedness of maximal heat{diusion operators associated with the system of generalized Hermite polynomials and with two dierent systems of generalized Hermite functions. We also give a necessary background to dene Sobolev spaces in this context.
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