一类Littlewood-Paley g_λ~*-函数在Campanato空间上的有界性

Boundedness for a Class of Littlewood-Paley g_λ~*-Functions on Campanato Spaces

建立了一类Littlewood-Paley g_λ~*-函数在Campanato空间上的有界性.并证明了若上述函数在一点有限,则其在Rn上几乎处处有限,且在Campanato空间上是有界的.

This paper established the boundedness for a class on Campanato spaces.It is proved that if the above functions almost everywhere in R .Moreover,the above operators are of intrinsic Littlewood-Paley gλ -functions are finite for one point, then they are finite bounded on Campanato spaces.