Norm inequalities in multidimensional Lorentz spaces

• Autores: Boris Simonov, Sergey Tikhonov
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 103, Nº 2, 2008, págs. 278-294
• Idioma: inglés
• DOI: 10.7146/math.scand.a-15080
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• Resumen

  • 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.