Multidimensional Hausdorff operators on the real Hardy space

• Autores: Andrei K. Lerner, Elijah Liflyand
• Localización: Journal of the Australian Mathematical Society, ISSN 1446-7887, Vol. 83, Nº 1, 2007, págs. 87-104
• Idioma: inglés
• DOI: 10.1017/s1446788700036399
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• Resumen

  • For a wide family of multivariate Hausdorff operators, the boundedness of an operator from this family is proved on the real Hardy space. By this we extend and strengthen previous results due to Andersen and Móricz.