让 X 是有有限措施的同类的类型的一个空格。让 T 是在 L^p (X) 上被围住的一个单个不可分的操作员， 1 【
p 【
∞。我们在核 k 上给一个足够的条件( x ， y ) T 以便什么时候功能 b ∈ BMO (X)，整流器[ b ， T ](f)= T ( bf )- bT...让 X 是有有限措施的同类的类型的一个空格。让 T 是在 L^p (X) 上被围住的一个单个不可分的操作员， 1 【
p 【
∞。我们在核 k 上给一个足够的条件( x ， y ) T 以便什么时候功能 b ∈ BMO (X)，整流器[ b ， T ](f)= T ( bf )- bT (f)为所有 p 在空格 L^p 上被围住， 1 【
p 【
∞。展开更多
Suppose μ is a Radon measure on R^d, which may be non doubling. The only condition assumed on μ is a growth condition, namely, there is a constant Co 〉 0 such that for all x ∈ supp（μ） and r 〉 0, μ（B（x, r）...Suppose μ is a Radon measure on R^d, which may be non doubling. The only condition assumed on μ is a growth condition, namely, there is a constant Co 〉 0 such that for all x ∈ supp（μ） and r 〉 0, μ（B（x, r）） ≤ Cor^n, where 0 〈 n ≤ d. We prove T1 theorem for non doubling measures with weak kernel conditions. Our approach yields new results for kernels satisfying weakened regularity conditions, while recovering previously known Tolsa＇s results. We also prove T1 theorem for Besov spaces on nonhomogeneous spaces with weak kernel conditions given in [7] .展开更多
基金Supported by the National Natural Science Foundation of China
文摘让 X 是有有限措施的同类的类型的一个空格。让 T 是在 L^p (X) 上被围住的一个单个不可分的操作员， 1 【
p 【
∞。我们在核 k 上给一个足够的条件( x ， y ) T 以便什么时候功能 b ∈ BMO (X)，整流器[ b ， T ](f)= T ( bf )- bT (f)为所有 p 在空格 L^p 上被围住， 1 【
p 【
∞。
基金The project was supported by the National Natural Science Fbundation of China(Grant No.10171111)the Foundation of Zhongshan University Advanced Research Center.
文摘Suppose μ is a Radon measure on R^d, which may be non doubling. The only condition assumed on μ is a growth condition, namely, there is a constant Co 〉 0 such that for all x ∈ supp（μ） and r 〉 0, μ（B（x, r）） ≤ Cor^n, where 0 〈 n ≤ d. We prove T1 theorem for non doubling measures with weak kernel conditions. Our approach yields new results for kernels satisfying weakened regularity conditions, while recovering previously known Tolsa＇s results. We also prove T1 theorem for Besov spaces on nonhomogeneous spaces with weak kernel conditions given in [7] .
