摘要
In this note we give the mapping properties of the Marcinkiewicz integral mu(Omega) at some end spaces. More precisely, we first prove that mu(Omega) is a bounded operator from H-1,H-infinity(R-n) to L-1,L-infinity (R-n). As a corollary of the results above, we obtain again the weak type (1,1) boundedness of mu(Omega), but the condition assumed on Omega is weaker than Stein's condition. Finally, we show that mu(Omega) is bounded from BMO(R-n) to BMO(R-n). The results in this note are the extensions of the results obtained by Lee and Rim recently.
- 出版日期2005-9
- 单位北京师范大学