| dc.contributor.author | Kumar, V | |
| dc.contributor.author | Ruzhansky, M | |
| dc.date.accessioned | 2021-09-10T12:51:21Z | |
| dc.date.available | 2021-09-10T12:51:21Z | |
| dc.date.issued | 2021 | |
| dc.identifier.uri | https://qmro.qmul.ac.uk/xmlui/handle/123456789/73963 | |
| dc.description.abstract | The $(k,a)$-generalised Fourier transform is the unitary operator defined using the $a$-deformed Dunkl harmonic oscillator. The main aim of this paper is to prove $L^p$-$L^q$ boundedness of $(k, a)$-generalised Fourier multipliers. To show the boundedness we first establish Paley inequality and Hausdorff-Young-Paley inequality for $(k, a)$-generalised Fourier transform. We also demonstrate applications of obtained results to study the well-posedness of nonlinear partial differential equations. | en_US |
| dc.publisher | Oxford University Press | en_US |
| dc.rights | This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited. | |
| dc.subject | math.FA | en_US |
| dc.subject | math.FA | en_US |
| dc.subject | math.AP | en_US |
| dc.subject | Primary 42B10, 42B37 Secondary 42B15, 33C45 | en_US |
| dc.title | $L^p$-$L^q$ boundedness of $(k, a)$-Fourier multipliers with applications to Nonlinear equations | en_US |
| dc.type | Article | en_US |
| dc.rights.holder | © The Author(s) 2021. Published by Oxford University Press. | |
| pubs.author-url | http://arxiv.org/abs/2101.03416v1 | en_US |
| pubs.notes | Not known | en_US |
| rioxxterms.funder | Default funder | en_US |
| rioxxterms.identifier.project | Default project | en_US |
