In this paper we discuss a Hardy-Littlewood direct theorem of transla- tion modulus of continuity in H_q^p(0<p<1,q>1) spaces.The main result is that for any f(z)∈H_q^p(0<p<1,q>1) and any τE(0,1) we...In this paper we discuss a Hardy-Littlewood direct theorem of transla- tion modulus of continuity in H_q^p(0<p<1,q>1) spaces.The main result is that for any f(z)∈H_q^p(0<p<1,q>1) and any τE(0,1) we have where z=x+iy,and c_(p,q) is a constant depending on p and q only.展开更多
文摘In this paper we discuss a Hardy-Littlewood direct theorem of transla- tion modulus of continuity in H_q^p(0<p<1,q>1) spaces.The main result is that for any f(z)∈H_q^p(0<p<1,q>1) and any τE(0,1) we have where z=x+iy,and c_(p,q) is a constant depending on p and q only.