New Gaussian Riesz transforms on variable Lebesgue spaces
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arXiv
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| Format: | Preprint |
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2021
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| _version_ | 1866929625090752512 |
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| author | Dalmasso, Estefanía Scotto, Roberto |
| author_facet | Dalmasso, Estefanía Scotto, Roberto |
| contents | We give sufficient conditions on the exponent $p: \mathbb R^d\rightarrow [1,\infty)$ for the boundedness of the non-centered Gaussian maximal function on variable Lebesgue spaces $L^{p(\cdot)}(\mathbb R^d, γ_d)$, 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 in \cite{nowakstempak}. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2102_12861 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | New Gaussian Riesz transforms on variable Lebesgue spaces Dalmasso, Estefanía Scotto, Roberto Analysis of PDEs 42B20, 42B25, 42B35 (Primary) 46E30, 47G10 (Secondary) We give sufficient conditions on the exponent $p: \mathbb R^d\rightarrow [1,\infty)$ for the boundedness of the non-centered Gaussian maximal function on variable Lebesgue spaces $L^{p(\cdot)}(\mathbb R^d, γ_d)$, 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 in \cite{nowakstempak}. |
| title | New Gaussian Riesz transforms on variable Lebesgue spaces |
| topic | Analysis of PDEs 42B20, 42B25, 42B35 (Primary) 46E30, 47G10 (Secondary) |
| url | https://arxiv.org/abs/2102.12861 |