| Some Aspects of Lw1^r （G）∩ L（p,q, w2dμ）（G） |
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| 作者姓名： | Ilker ERYILMAZ Cenap DUYAR |
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| 作者单位： | Department of Mathematics, Sciences and Arts Faculty, Ondokuz Mayls University, Samsun 55139, Kurupelit, Turkey |
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| 摘 要： | Let G be a locally compact Abelian group with Haar measure. The authors discuss some basic properties of Lw1^r （G）∩ L（p, q, w2dμ）（G） spaces. Then the necessary conditions for compact embeddings of the spaces Lw1^r （R^d）∩ L（p, q, w2dμ）（R^d） are showed.
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| 关 键 词： | 住宅 磷 栎 Haar测度 注册商标 Abel群 局部紧 |
Some Aspects of $L_{w_1}^r(G)\cap L(p,q,w_2{\rm d}\mu)(G)$ |
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| 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,Series B,2009,30(3):311-320. |
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| Authors: | Ilker ERYILMAZ and Cenap DUYAR |
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| Institution: | (1) Department of Mathematics, Sciences and Arts Faculty, Ondokuz Mayıs University, Samsun, 55139, Kurupelit, Turkey |
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| Abstract: | Let G be a locally compact Abelian group with Haar measure. The authors discuss some basic properties of  (G) ∩ L(p,q,w
2dμ)(G) spaces. Then the necessary conditions for compact embeddings of the spaces  (R
d
)∩L(p,q,w
2dμ)(R
d
) are showed.
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| Keywords: | Weighted Lebesgue spaces Weighted Lorentz spaces Compact embeddings |
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