$ \boldsymbol{H^{p,q,s}}({\Bbb D})$上的复合算子

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CLC Number:

O174.56

Chen Hongxin,Zhang Xuejun,Zhou Min. Composition Operators on $\boldsymbol{H^{p,q,s}}({\Bbb D})$ [J].Acta mathematica scientia,Series A, 2023, 43(1): 1-13.

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References 17

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[4]	Zhang X J, Lv R X, Tang P C. Several equivalent characterizations of general Hardy type spaces on the unit ball in ${\Bbb C}^{\it n}$ . Chin J Conte Math, 2019, 40(2): 101-114
[5]	Li S L, Zhang X J. Toeplitz type operator and Gleason's problem on $H^{p,q,s}(B)$ of ${\Bbb C}^{n}$ . Complex Var Ellip Equat, 2021, 66(8): 1362-1379
[6]	Xu S, Zhang X J. Multiplier and composition operator between several holomorphic function spaces in ${{\Bbb C}^{\it n}}$ . Complex Anal Oper Theory, 2021, 15(2), Article number: 36
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[8]	Zhu K H. Operator Theory in Function Spaces. Providence, RI: Amer Math Soc, 2007
[9]	Zhu K H. Spaces of Holomorphic Functions in the Unit Ball. New York: Springer-Verlag, 2005
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[11]	Shields A, Williams D. Bounded projections, duality and multipliers in space of analytic functions. Trans Amer Math Soc, 1971, 167: 253-268
[12]	Littlewood J. On inequalities in the theory of functions. Proc London Math Soc, 1925, 23(2): 481-519
[13]	Tang X M. Essential norms of weighted composition operators from Bloch-type space to $H^{\infty}$ on the unit ball. Complex Anal Oper Theory, 2015, 9(1): 229-244 doi: 10.1007/s11785-014-0410-2
[14]	Ye S L. Weighted composition operators from $F(p,q,s)$ into logarithmic Bloch space. J Kore Math Soc, 2008, 45(4): 977-991
[15]	Zhou Z H, Chen R Y. Weighted composition operator from $F(p,q,s)$ to Bloch type spaces on the unit ball. Int J Math, 2008, 19(8): 899-926 doi: 10.1142/S0129167X08004984
[16]	张学军, 李菊香. ${\Bbb C}^n$ 中单位球上 $\mu$ -Bloch空间之间的复合算子. 数学物理学报, 2009, 29A(3): 573-583
	Zhang X J, Li J X. Weighted composition operators between $\mu$ -Bloch spaces on the unit ball of ${\Bbb C}^n$ . Acta Math Sci, 2009, 29A(3): 573-583
[17]	Li S L, Zhang X J, Xu S. The compact composition operator on the $\mu$ -Bergman space in the unit ball. Acta Math Sci, 2017, 37B(2): 425-438

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