| MULTIPLIERS AND TENSOR PRODUCTS OF L（p, q） LORENTZ SPACES |
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| 引用本文： | A. Turan Gürkanl.MULTIPLIERS AND TENSOR PRODUCTS OF L（p, q） LORENTZ SPACES[J].数学物理学报(B辑英文版),2007,27(1):107-116. |
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| 作者姓名： | A. Turan Gürkanl |
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| 作者单位： | Department of Mathematics Faculty of Arts and Sciences Ondokuz Mayis University，55139，Kurupelit，Samsun，TURKEY，Department of Mathematics Faculty of Arts and Sciences，Ondokuz Mayis University，55139，Kurupelit，Samsun，TURKEY |
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| 摘 要： | Let G be a locally compact abelian group. The main purpose of this article is to find the space of multipliers from the Lorentz space L(p1, q1)(G) to L(p21,q21)(G). For this reason, the authors define the space Ap1,q1p2,q2(G), discuss its properties and prove that the space of multipliers from L(p1,q1)(G) to L(p21,q21)(G) is isometrically isomorphic to the dual of Ap1,q1p2q2(G).
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| 关 键 词： | 洛仑兹空间 乘数 张量积 巴拿赫模数 |
| 收稿时间： | 2004-06-24 |
| 修稿时间： | 2005-03-31 |
Multipliers and tensor products of L(p, q) Lorentz spaces |
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| Hakan Avci,A. Turan Gürkanli,.Multipliers and tensor products of L(p, q) Lorentz spaces[J].Acta Mathematica Scientia,2007,27(1):107-116. |
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| Authors: | Hakan Avci A Turan Gürkanli |
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| Institution: | aDepartment of Mathematics, Faculty of Arts and Sciences, Ondokuz Mayis University, 55139, Kurupelit, Samsun, TURKEY |
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| Abstract: | Let G be a locally compact abelian group. The main purpose of this article is to find the space of multipliers from the Lorentz space L(p1, q1)(G) to L(p'2, q'2)(G). For this reason, the authors define the spaceAp2,q2p1,q1(G), discuss its properties and prove that the space of multipliers from L(p1, q1)(G) to L(p'2, q'2)(G) is isometrically isomorphic to the dual of Ap2,q2p1,q1(G). |
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| Keywords: | Lorentz space Banach module multiplier |
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