Norm inequalities in multidimensional Lorentz spaces

Boris Simonov; Sergey Tikhonov

doi:10.7146/math.scand.a-15080

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

How to Cite

Simonov, B., & Tikhonov, S. (2008). Norm inequalities in multidimensional Lorentz spaces. MATHEMATICA SCANDINAVICA, 103(2), 278–294. https://doi.org/10.7146/math.scand.a-15080