On the Fourier sine and Kontorovich–Lebedev generalized convolution transforms and applications
UDC 517.5 We study a generalized convolutions for the Fourier sine and Kontorovich - Lebedev transforms $ (h\underset{F_s,K}\ast f)(x)$ in a two-parameter function space $L_p^{\alpha, \beta}(\Bbb R_+)$. We obtain several estimates for the norms and prove a Young-type inequality for this generalized...
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| Date: | 2020 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2020
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/2370 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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