Coefficient multipliers of H^p spaces over bounded symmetric domains in C

One way to give information about the Taylor coefficients of Hp functions is to describe the multipliers of Hp into various spaces. In the case of one complex variable, Duren and Shields described the multipliers of Hp into lq (0<p<1, p≤q≤∞). The Duren-Shields theorems to the case with the bounded symmetric domains in Cn are generalized. The results are sharp if q≥2. A sufficient condition of Hp into Hq is given for any p and q, 0<p<q<∞.

One way to give information about the Taylor coefficients of Hp functions is to describe the multipliers of Hp into various spaces. In the case of one complex variable, Duren and Shields described the multipliers of Hp into lq (0&lt;p&lt;1, p≤q≤∞). The Duren-Shields theorems to the case with the bounded symmetric domains in Cn are generalized. The results are sharp if q≥2. A sufficient condition of Hp into Hq is given for any p and q, 0&lt;p&lt;q&lt;∞.