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http://hdl.handle.net/10553/52611
| Title: | Riesz transforms and multipliers for the Bessel-Grushin operator | Authors: | Almeida, Victor Betancor, Jorge J. Castro, Alejandro J. Sadarangani, Kishin |
UNESCO Clasification: | 12 Matemáticas | Keywords: | Sharp Spectral Multipliers Laguerre Expansions Hermite Expansions Poisson Integrals Spaces, et al |
Issue Date: | 2016 | Journal: | Journal d'Analyse Mathematique | Abstract: | We establish that the spectral multiplier (Formula presented.) associated to the differential operator (Formula presented.) on (Formula presented.), which we call the Bessel-Grushin operator, is of weak type (1, 1) provided that M is in a suitable local Sobolev space. In order to do this, we prove a suitable weighted Plancherel estimate. Also, we study Lp-boundedness properties of Riesz transforms associated to (Formula presented.) in the case n = 1. | URI: | http://hdl.handle.net/10553/52611 | ISSN: | 0021-7670 | DOI: | 10.1007/s11854-016-0002-3 | Source: | Journal d'Analyse Mathematique[ISSN 0021-7670],v. 128, p. 51-106 |
| Appears in Collections: | Artículos |
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