摘要
In this note the existence of a singular integral operator T acting on Lip α (R n) spaces is studied. Suppose f∈Lip α (R n)(0<α<1). If Tf (x 0) exists for a single point x 0∈R n, then Tf (x) exists everywhere for x∈R n and Tf∈ Lip α (R n).
In this note the existence of a singular integral operator T acting on Lip α (R n) spaces is studied. Suppose f∈Lip α (R n)(0<α<1). If Tf (x 0) exists for a single point x 0∈R n, then Tf (x) exists everywhere for x∈R n and Tf∈ Lip α (R n).
