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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.
Han, Yong Sheng. "Calderón-type reproducing formula and the Tb theorem.." Revista Matemática Iberoamericana 10.1 (1994): 51-91. <http://eudml.org/doc/39460>.
@article{Han1994, abstract = {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.}, author = {Han, Yong Sheng}, journal = {Revista Matemática Iberoamericana}, keywords = {Integral normada; Kernel; Calderón-Zygmund operator; paraaccretive function; Calderón-type reproducing formula; theorem; Besov spaces; Triebel-Lizorkin spaces; singular integral operators}, language = {eng}, number = {1}, pages = {51-91}, title = {Calderón-type reproducing formula and the Tb theorem.}, url = {http://eudml.org/doc/39460}, volume = {10}, year = {1994}, }
TY - JOUR AU - Han, Yong Sheng TI - Calderón-type reproducing formula and the Tb theorem. JO - Revista Matemática Iberoamericana PY - 1994 VL - 10 IS - 1 SP - 51 EP - 91 AB - 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. LA - eng KW - Integral normada; Kernel; Calderón-Zygmund operator; paraaccretive function; Calderón-type reproducing formula; theorem; Besov spaces; Triebel-Lizorkin spaces; singular integral operators UR - http://eudml.org/doc/39460 ER -