Springer Verlag;Heidelberg: Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Abstract:
摘要: This article deals with the boundedness properties of Calderón-Zygmund operators on Hardy spaces H p (ℝ n ). We use wavelet characterization of H p (ℝ n ) to show that a Calderón-Zygmund operator T with T *1 = 0 is bounded on H p (ℝ n ), is the regular exponent of kernel of T . This approach can be applied to the boundedness of operators on certain Hardy spaces without atomic decomposition or molecular characterization. 其他題名: Acta. Math. Sin.-English Ser 出版者: Heidelberg: Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 出版日期: 2012-06 出處: Acta mathematica Sinica. English series, 2012-06, Vol.28 (6), p.1237-1248 資源來源: ABI/INFORM Collection 版權: Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg 2011 版權: Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg 2012 識別號: ISSN: 1439-8516 識別號: EISSN: 1439-7617 識別號: DOI: 10.1007/s10114-011-0065-0