Calderón-type reproducing formula and the Tb theorem.
Yong Sheng Han (1994)
Revista Matemática Iberoamericana
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In this paper we use the Calderón-Zygmund operator theory to prove a Calderón type reproducing formula associated with a para-accretive function. Using our Calderón-type reproducing formula we introduce a new class of the Besov and Triebel-Lizorkin spaces and prove a Tb theorem for these new spaces.