Bloch-type space of temperature functions on a finite cylinder

摘要

We define the Bloch-type spaceBTas the linear space of temperature functions on the cylinderST=??1×(0,T)such thatsup?(x,t)∈T?t|?u?t(x,t)|<∞,ΩT=[0,2]×(0,T); we prove that(b1(ST))*=BT, whereb1(ST)is the Bergman space of temperature functions onSTbelonging toL1(ΩT,dxdt).