Multipliers and closures of Besov-type spaces in the Bloch space
Keyword(s):
Let p > 1 and let ? be a non-negative function defined in R+. A function f ? H(D) belongs to the space Bp(?) (see [4]) if ||f||p Bp(?) = |f(0)jp + ?D |(1-|z|2) f?(z)|p ?(1-|z|2)/(1-|z|2)2 dA(z) < ?. In this paper, motivated by the works of B?koll? and Bao and G???s, under some conditions on the weight function ?, we investigate the closures CB(B ? Bp(?)) of the spaces B ? Bp(?) in the Bloch space. Moreover we prove that interpolating Blaschke products in CB(B ? Bp(?)) are multipliers of Bp(?) ? BMOA.
2007 ◽
Vol 199
(1)
◽
pp. 56-67
◽
2009 ◽
Vol 354
(2)
◽
pp. 426-434
◽
2010 ◽
Vol 59
(6)
◽
pp. 1931-1934
◽
Keyword(s):
2016 ◽
Vol 56
(3)
◽
pp. 655-680
◽
2015 ◽
Vol 52
(2)
◽
pp. 193-221
◽
2012 ◽
Vol 2012
◽
pp. 1-9
◽
2015 ◽
Vol 6
(4)
◽
pp. 255-288
◽
2016 ◽
Vol 99
(12)
◽
pp. 1859-1869
2009 ◽
Vol 52
(3)
◽
pp. 689-705
◽