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SHARP CONSTANTS BETWEEN EQUIVALENT NORMS IN WEIGHTED LORENTZ SPACES

  • SORINA BARZA (a1) and JAVIER SORIA (a2)
Abstract

For an increasing weight w in Bp (or equivalently in Ap), we find the best constants for the inequalities relating the standard norm in the weighted Lorentz space Λp(w) and the dual norm.

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Copyright
Corresponding author
For correspondence; e-mail: soria@ub.edu
Footnotes
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This research was partially supported by grants MTM2007-60500 and 2005SGR00556.

Footnotes
References
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[1]Ariño, M. A. and Muckenhoupt, B., ‘Maximal functions on classical Lorentz spaces and Hardy’s inequality with weights for nonincreasing functions’, Trans. Amer. Math. Soc. 320 (1990), 727735.
[2]Barza, S., Kolyada, V. and Soria, J., ‘Sharp constants related to the triangle inequality in Lorentz spaces’, Trans. Amer. Math. Soc. 361 (2009), 55555574.
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Journal of the Australian Mathematical Society
  • ISSN: 1446-7887
  • EISSN: 1446-8107
  • URL: /core/journals/journal-of-the-australian-mathematical-society
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