Calderón-Zygmund operators on weighted Carleson measure spaces

• Main Authors: Peng-che Tung, 童鵬哲
• Other Authors: Ming-yi Lee
• Format: Others
• Language: en_US
• Published: 2015
• Online Access: http://ndltd.ncl.edu.tw/handle/98796488166988966773

碩士 === 國立中央大學 === 數學系 === 103 === We consider the Calderón-Zygmund operators on weighted Carleson measure spaces CMO^p_w(R^n). Our main purpose is to show that the Calderón-Zygmund operators T which satisfy T^∗1 = 0 and ε be the reqularity exponent of the kernel of T, then these operators are bounded on CMO^p_w (R^n) provided by n/(n+ε) < p ≤ 1 and w ∈ Ap(1+ε/n). Using the same argument above, we can also abtain the boundedness of one-parameter singular integral operator T on CMO^p_w for 0 < p < ∞ .