P. Jain, S. Jain, “Normability and duality in the two-dimensional Lorentz spaces”, Eurasian Math. J., 5:4 (2014), 79

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Eurasian Mathematical Journal, 2014, Volume 5, Number 4, Pages 79–91 (Mi emj176)

This article is cited in 1 scientific paper (total in 1 paper)

Normability and duality in the two-dimensional Lorentz spaces

P. Jain^a, S. Jain^b

^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

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Abstract: The two-dimensional Lorentz space

L_{2}^{p, q}

$L^{p,q}_2$ is defined as a special case from the two-dimensional space

Λ_{2}^{p} (w)

$\Lambda^p_2(w)$ just as was done in the classical dimension one. The normability and duality of the space

L_{2}^{p, q}

$L^{p,q}_2$ are discussed.

Keywords and phrases: Lorentz space, normability, duality, non-increasing rearrangement.

Received: 08.07.2014

Document Type: Article

MSC: 46E35

Language: English

Citation: P. Jain, S. Jain, “Normability and duality in the two-dimensional Lorentz spaces”, Eurasian Math. J., 5:4 (2014), 79–91

Citation in format AMSBIB

\Bibitem{JaiJai14}

\by P.~Jain, S.~Jain

\paper Normability and duality in the two-dimensional Lorentz spaces

\jour Eurasian Math. J.

\yr 2014

\vol 5

\issue 4

\pages 79--91

\mathnet{http://mi.mathnet.ru/emj176}

Linking options:

https://www.mathnet.ru/eng/emj176

https://www.mathnet.ru/eng/emj/v5/i4/p79

This publication is cited in the following 1 articles:

P. Jain, S. Jain, “O'Neil type convolution inequalities in Lorentz spaces”, Proc. Nat. Acad. Sci. India A, 86:2 (2016), 267–271

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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