INVESTIGADORES
DALMASSO Estefania Dafne
artículos
Título:
New Gaussian Riesz transforms on variable Lebesgue spaces
Autor/es:
DALMASSO, E.; SCOTTO, R.
Revista:
ANALYSIS MATHEMATICA
Editorial:
AKADEMIAI KIADO RT
Referencias:
Año: 2022 vol. 48 p. 39 - 67
ISSN:
0133-3852
Resumen:
We give sufficient conditions on the exponent $p:\mathbb R^d \to [1,\infty)$ for the boundedness of the non-centered Gaussian maximal function on variable Lebesgue spaces $L^{p(\cdot)(\gamma_d)$, as well as of the new higher order Riesz transforms associated with the Ornstein-Uhlenbeck semigroup, which are the natural extensions of the supplementary first order Gaussian Riesz transforms defined by A. Nowak and K. Stempak (J. Fourier Anal. Appl., 12(6):675-711, 2006.).
