伴随HERZ空间的HARDY空间上的分数次积分算子

FRACTIONAL INTEGRALS ON HARDY SPACES ASSOCIATED WITH HERZ SPACES

本文证明了分数次积分算子是伴随Ｈｅｒｚ空间的Ｈａｒｄｙ空间ＨＫｐ到Ｈｅｒｚ空间Ｋｑ有界的，和伴随Ｂｅｕｒｒｌｉｎｇ代数的Ｈａｒｄｙ空间ＨＡｐ到Ｂｅｕｒｌｉｎｇ代数小有界的．

In this paper, it is proved that the fractional integrals operators are bounded from Hardy spaces HKp (Rn)associated with Herz spaces to Herz spaces Kq (Rn) and from Hardy spaces HAP (Rn) associated with Beurling algebras to Beurling algebras Aq(Rn) for q-1 = p-1 - λ- 1 ;λ>n.