Normability of gamma spaces

Filip Soudský

Commentationes Mathematicae Universitatis Carolinae (2016)

  • Volume: 57, Issue: 1, page 63-71
  • ISSN: 0010-2628

Abstract

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We give a full characterization of normability of Lorentz spaces Γ w p . This result is in fact known since it can be derived from Kamińska A., Maligranda L., On Lorentz spaces, Israel J. Funct. Anal. 140 (2004), 285–318. In this paper we present an alternative and more direct proof.

How to cite

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Soudský, Filip. "Normability of gamma spaces." Commentationes Mathematicae Universitatis Carolinae 57.1 (2016): 63-71. <http://eudml.org/doc/276785>.

@article{Soudský2016,
abstract = {We give a full characterization of normability of Lorentz spaces $\Gamma _\{w\}^\{p\}$. This result is in fact known since it can be derived from Kamińska A., Maligranda L., On Lorentz spaces, Israel J. Funct. Anal. 140 (2004), 285–318. In this paper we present an alternative and more direct proof.},
author = {Soudský, Filip},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Lorentz space; weight; normability},
language = {eng},
number = {1},
pages = {63-71},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Normability of gamma spaces},
url = {http://eudml.org/doc/276785},
volume = {57},
year = {2016},
}

TY - JOUR
AU - Soudský, Filip
TI - Normability of gamma spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2016
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 57
IS - 1
SP - 63
EP - 71
AB - We give a full characterization of normability of Lorentz spaces $\Gamma _{w}^{p}$. This result is in fact known since it can be derived from Kamińska A., Maligranda L., On Lorentz spaces, Israel J. Funct. Anal. 140 (2004), 285–318. In this paper we present an alternative and more direct proof.
LA - eng
KW - Lorentz space; weight; normability
UR - http://eudml.org/doc/276785
ER -

References

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  3. Carro M.J., Soria J., 10.1006/jfan.1993.1042, J. Funct. Anal. 112 (1993), no. 2, 480–494. MR1213148DOI10.1006/jfan.1993.1042
  4. Kamińska A., Maligranda L., On Lorentz spaces, Israel J. Funct. Anal. 140 (2004), 285–318. MR2054849
  5. Lorentz G.G., 10.2140/pjm.1951.1.411, Pacific J. Math. 1 (1951), 411–429. MR0044740DOI10.2140/pjm.1951.1.411
  6. Sawyer E., Boundedness of classical operators on classical Lorentz spaces, Studia Math. 96 (1990), no. 2, 145–158. MR1052631
  7. Sinnamon G., Stepanov V.D., 10.1112/jlms/54.1.89, J. London Math. Soc. (2) 54 (1996), no. 1, 89–101. MR1395069DOI10.1112/jlms/54.1.89
  8. Stepanov V.D., Integral operators on the cone of monotone functions and embeddings of Lorentz spaces, Dokl. Akad. Nauk SSSR 317 (1991), no. 6, 1308–1311. MR1118029

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