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| Some Aspects of $L_{w_1}^r(G)\cap L(p,q,w_2{\rm d}\mu)(G)$ |
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Citation： |
Ilker ERYILMAZ,Cenap DUYAR.Some Aspects of $L_{w_1}^r(G)\cap L(p,q,w_2{\rm d}\mu)(G)$[J].Chinese Annals of Mathematics B,2009,30(3):311~320 |
| Page view： 1561
Net amount： 1267 |
Authors： |
Ilker ERYILMAZ; Cenap DUYAR; |
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| Abstract： |
Let $G$ be a locally compact Abelian group with Haar measure. The
authors discuss some basic properties of $L_{w_1}^r(G)\cap
L(p,q,w_2\d\mu)(G)$ spaces. Then the necessary conditions for
compact embeddings of the spaces $L_{w_1}^r(R^d)\cap
L(p,q,w_2\d\mu)(R^d)$ are showed. |
Keywords： |
Weighted Lebesgue spaces, Weighted Lorentz spaces, Compact embeddings |
Classification： |
46E30, 46E40, 54C25 |
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