单位球上对数Bloch空间到F(p,q,s)空间的Volterra复合算子
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摘要
假设φ为C~n中单位球上的解析自映射,通过研究C~n中单位球上从对数Bloch空间到F(p,q,s)空间的Volterra型复合算子,引入检验函数,得到V_φ~g:β_L→F(p,q,s)为有界算子和紧算子的充要条件。
Let φ denote an analytic self-map in the unit ball of C~n.In this paper,we discuss the composition operator V_φ~g is bounded and compact from the Bloch spaces to the F(p,q,s) spaces.We can obtain the necessary and sufficient conditions by introducing some test function.
Let φ denote an analytic self-map in the unit ball of C~n.In this paper,we discuss the composition operator V_φ~g is bounded and compact from the Bloch spaces to the F(p,q,s) spaces.We can obtain the necessary and sufficient conditions by introducing some test function.
引文
[1]张学军,关莹,李敏.单位球上对数权Bloch型空间的复合算子[J].数学进展,2015,44(4):553-561.
[2]叶善力.不同权的Bloch型空间之间的加权复合算子[J].数学学报,2007,50(4):927-942.
[3]龙见仁,李叶舟.加权Bloch型空间上的广义复合算子[J].数学学报,2016,59(2):279-288.
[4]YE S.Weighted composition operators from F(p,q,s)into logarithmic bloch space[J].Journal of the Korean Mathematical Society,2008,45(4):977-991.
[5]TANG X.Extended Cesàro operators between Bloch-type spaces in the unit ball of Cn[J].Journal of Mathematical Analysis&Applications,2007,326(2):1199-1211.
[6]LI S.Riemann-Stieltjes operators fromF(p,q,s)spaces toα-Bloch spaces on the unit ball[J].Journal of Inequalities&Applications,2006,2006(2):127-155.
[7]何忠华,曹广福,何莉.单位球上Bloch型空间到F(p,q,s)空间的Volterra复合算子[J].数学进展,2016,44(2):263-270.
[8]ZHANG F,LIU Y.Volterra composition operators from F(p,q,s)to logarithmic bloch spaces[J].Journal of Computational Analysis&Applications,2015,19(3):444-454.
[9]STEVIC'S.On operator Pgφfrom the logarithmic Bloch-type space to the mixed-norm space on the unit ball[J].Applied Mathematics&Computation,2010,215(12):4248-4255.
[10]YANG C.Integral-type operators fromF(p,q,s)spaces to zygmund-type spaces on the unit ball[J].Journal of Inequalities&Applications,2011,2010(1):1-14.
[2]叶善力.不同权的Bloch型空间之间的加权复合算子[J].数学学报,2007,50(4):927-942.
[3]龙见仁,李叶舟.加权Bloch型空间上的广义复合算子[J].数学学报,2016,59(2):279-288.
[4]YE S.Weighted composition operators from F(p,q,s)into logarithmic bloch space[J].Journal of the Korean Mathematical Society,2008,45(4):977-991.
[5]TANG X.Extended Cesàro operators between Bloch-type spaces in the unit ball of Cn[J].Journal of Mathematical Analysis&Applications,2007,326(2):1199-1211.
[6]LI S.Riemann-Stieltjes operators fromF(p,q,s)spaces toα-Bloch spaces on the unit ball[J].Journal of Inequalities&Applications,2006,2006(2):127-155.
[7]何忠华,曹广福,何莉.单位球上Bloch型空间到F(p,q,s)空间的Volterra复合算子[J].数学进展,2016,44(2):263-270.
[8]ZHANG F,LIU Y.Volterra composition operators from F(p,q,s)to logarithmic bloch spaces[J].Journal of Computational Analysis&Applications,2015,19(3):444-454.
[9]STEVIC'S.On operator Pgφfrom the logarithmic Bloch-type space to the mixed-norm space on the unit ball[J].Applied Mathematics&Computation,2010,215(12):4248-4255.
[10]YANG C.Integral-type operators fromF(p,q,s)spaces to zygmund-type spaces on the unit ball[J].Journal of Inequalities&Applications,2011,2010(1):1-14.