Norm inequalities in multidimensional Lorentz spaces

Authors

  • Boris Simonov
  • Sergey Tikhonov

DOI:

https://doi.org/10.7146/math.scand.a-15080

Abstract

In this paper we obtain necessary and sufficient conditions for double trigonometric series to belong to generalized Lorentz spaces, not symmetric in general. Estimates for the norms are given in terms of coefficients.

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Published

2008-12-01

Issue

Vol. 103 No. 2 (2008)

Section

Articles

How to Cite

[1]
B. Simonov and S. Tikhonov, “Norm inequalities in multidimensional Lorentz spaces”, Math. Scand., vol. 103, no. 2, pp. 278–294, Dec. 2008, doi: 10.7146/math.scand.a-15080.