文摘
The aim of this paper is to find weights W in the unit ball of class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16306217&_mathId=si1.gif&_user=111111111&_pii=S0022247X16306217&_rdoc=1&_issn=0022247X&md5=b67ac7089eb5557da12fb58642c7c30a" title="Click to view the MathML source">Cnclass="mathContainer hidden">class="mathCode"> for which characterization of the area integrals of Bergman spaces class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16306217&_mathId=si2.gif&_user=111111111&_pii=S0022247X16306217&_rdoc=1&_issn=0022247X&md5=55a85cb45243a80e26bc7e5d7bcc5c3e" title="Click to view the MathML source">Ap(W)class="mathContainer hidden">class="mathCode"> holds. The area functions, related to those used to describe Hardy spaces, involve the radial derivative, the complex gradient and the invariant gradient. We extend to certain Bekollé weights the characterization by Z. Chen and W. Ouyang of the Bergman spaces with the classical weights class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16306217&_mathId=si3.gif&_user=111111111&_pii=S0022247X16306217&_rdoc=1&_issn=0022247X&md5=9e9d73c2c9539b5ebafe15827dc8a2fe" title="Click to view the MathML source">W(z)=(1−|z|)αclass="mathContainer hidden">class="mathCode"> using area functions.