Weighted Composition Operators From F(p,q,s) To Bloch Type Spaces On The Unit Ball

The title of this article is WEIGHTED COMPOSITION OPERATORS FROM F(p, q, s)TO BLOCH TYPE SPACES ON THE UNIT BALL. And it gives the sufficient andnecessary condition for the boundedness and compactness of the weightedcomposition from F(p, q, s) to Bloch type spaces. The article is dividedinto five parts.In the first part, some background and some notions are given. The mainresult and some corollaries are given here too.In the next part, some important lemmas, which are related to the maintheorem, are proved.In the third part, we prove the sufficient and necessary condition forthe boundedness of the weighted composition from F(p, q, s) to Bloch typespaces.When (q+n+1)/p<1, the sufficiently and necessary condition for thecompactness of the weighted composition operator when (q+n+1)/p