Tb theorems for Triebel-Lizorkin spaces over special spaces of homogeneous type and their applications

• Autores: Yanchang Han
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 59, Fasc. 1, 2008, págs. 63-78
• Idioma: inglés
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• Resumen

  • The author first establishes the $Tb$ theorems for Triebel-Lizorkin spaces by the discrete Calderón type reproducing formula and the Plancherel-P\^{o}lya characterization for the Triebel-Lizorkin spaces. As an application of the $Tb$ theorems, new characterizations of Triebel-Lizorkin spaces with minimum regularity and cancellation conditions are given over special spaces of homogeneous type.