THE BOUNDEDNESS OF CALDERN-ZYGMUND OPERATORS ON HARDY SPACES HA^p AND ITS APPLICATIONS

Recently, J. Garcia-Cuerva, along with Y. Z. Chen and K. S. Lau, defined some Hardy spaces HA^p associated with the Beurling algebra A^p (1【p【∞)and gave their atomic decompositions. The main purpose of this note is to find out the boundedness of Caldern-Zygmund operators on HA^p. As a corollary, we obtain a necessary condition of wavelet series in HA^p . By Lu’s constructive method in [3], we can generalize the above results to the weighted situation. For this purpose, let us begin with the weighted central atom.