... We will discuss the possible multilinear extensions of theseinequalities and provide formulas for the best constants in a closed form via the gammafunction. The formulas we present here do not ... a result here; the interested reader is referred to [5,page232] for further details.2 Best constants for certain multilinear integral operatorstheory of analytic functions to results about ... Hilbert, Hardy, and Hardy-Littlewood-P´olya which do not10 Best constants for certain multilinear integral operatorsIn particular, for m= 1, we recover the best constant in the (Lp,Lp) inequality...