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Eurasian Mathematical Journal, 2014, Volume 5, Number 4, Pages 79–91
(Mi emj176)
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This article is cited in 1 scientific paper (total in 1 paper)
Normability and duality in the two-dimensional Lorentz spaces
P. Jaina, S. Jainb
a Department of Mathematics, South Asian University, Akbar Bhawan, Chanakya Puri, New Delhi-110021, India
b Department of Mathematics, Vivekananda College (University of Delhi), Vivek Vihar, Delhi-110095, India
Abstract:
The two-dimensional Lorentz space $L^{p,q}_2$ is defined as a special case from the two-dimensional space $\Lambda^p_2(w)$ just as was done in the classical dimension one. The normability and duality of the space $L^{p,q}_2$ are discussed.
Keywords and phrases:
Lorentz space, normability, duality, non-increasing rearrangement.
Received: 08.07.2014
Citation:
P. Jain, S. Jain, “Normability and duality in the two-dimensional Lorentz spaces”, Eurasian Math. J., 5:4 (2014), 79–91
Linking options:
https://www.mathnet.ru/eng/emj176 https://www.mathnet.ru/eng/emj/v5/i4/p79
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| Abstract page: | 265 | | Full-text PDF : | 78 | | References: | 36 |
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