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| Convolutions,Tensor Products and Multipliers of the Orlicz-Lorentz Spaces |
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Citation： |
Hongliang LI,Jiecheng CHEN.Convolutions,Tensor Products and Multipliers of the Orlicz-Lorentz Spaces[J].Chinese Annals of Mathematics B,2015,36(3):467~484 |
| Page view： 994
Net amount： 1098 |
Authors： |
Hongliang LI; Jiecheng CHEN; |
Foundation： |
supported by the National Natural Science Foundation of China (Nos. 11401530,
11461033, 11271330) and the Natural Science Foundation of Zhejiang Province (No. LQ13A010018). |
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| Abstract： |
In this paper, the authors first give the properties of the
convolutions of Orlicz-Lorentz spaces $\Lambda_{\varphi_1,w}$ and
$\Lambda_{\varphi_2,w}$ on the locally compact abelian group.
Secondly, the authors obtain the concrete representation as function
spaces for the tensor products of Orlicz-Lorentz spaces
$\Lambda_{\varphi_1,w}$ and $\Lambda_{\varphi_2,w}$,
and get the space of multipliers from the space
$\Lambda_{\varphi_1,w}$ to the space $M_{\varphi_{2*},w}$. Finally,
the authors discuss the homogeneous properties for the
Orlicz-Lorentz space $\Lambda_{\varphi,w}^{p,q}$. |
Keywords： |
Orlicz-Lorentz spaces, Convolution, Tensor products, Multipliers, Hardy
operator |
Classification： |
43A15, 43A22 |
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