This paper is devoted to the investigation of the weighted Bergman harmonic spaces bp/alpha(B] in the unit ball in Rn. The reproducing kernel Ralpha for the ball is constructed and the integral representation for functions in bp/alpha(B) by means of this kernel is obtained. Besides an linear mapping between the bp/alpha(B) spaces and the ordinary L2-space on the unit sphere, which has an explicit form of integral operator along with its inversion, is established.
Radical addition reactions of [2-(4-(S)-isopropyl-2-oxazoline)-5-phenyl]dibutyl and dimethyl hydrides to activated double/triple bonds took place in good yields. Triethylborane in presence of oxygen can serve as a radical initiator. Addition of stannyl radicals to N,N-(2-methoxycarbonyl-allyl)benzyl glycinate results in formation of the corresponding piperidine derivatives. The intramolecular tandem radical addition/ cyclization process can be performed in high yields and good diastereoselectivity.