Research article

Embedding reverse Carleson measure for derivatives on Fock space

  • Published: 26 May 2026
  • MSC : Primary 47B37, 30H20

  • The paper establishes a full characterisation of the embedding of Carleson measures and reverse Carleson measures for derivatives on Fock space. The intrinsic relationship between $ (s, r) $-averaging transform and embedding derivatives Carleson measures on Fock spaces is revealed. This improves existing results.

    Citation: Zhengyuan Zhuo, Feifei Zhao. Embedding reverse Carleson measure for derivatives on Fock space[J]. AIMS Mathematics, 2026, 11(5): 14763-14770. doi: 10.3934/math.2026607

    Related Papers:

  • The paper establishes a full characterisation of the embedding of Carleson measures and reverse Carleson measures for derivatives on Fock space. The intrinsic relationship between $ (s, r) $-averaging transform and embedding derivatives Carleson measures on Fock spaces is revealed. This improves existing results.



    加载中


    [1] G. Cao, L. He, Y. Zhang, Reverse Carleson measures on generalized Fock spaces, Acta Math. Sci. Ser. B (Engl. Ed.), 43 (2023), 655–667. https://doi.org/10.1007/s10473-023-0211-7 doi: 10.1007/s10473-023-0211-7
    [2] O. Constantin, A Volterra-type integration operator on Fock spaces, Proc. Amer. Math. Soc., 140 (2012), 4247–4257. https://doi.org/10.1090/S0002-9939-2012-11541-2 doi: 10.1090/S0002-9939-2012-11541-2
    [3] H. Chen, S. Ye, A generalized Hilbert operator acting on Hardy spaces, Acta Math. Sci. Ser. B (Engl. Ed.), 46 (2026), 145–163. https://doi.org/10.1007/s10473-026-0110-9 doi: 10.1007/s10473-026-0110-9
    [4] E. Fricain, A. Hartmann, W. Ross, A survey on reverse Carleson measures, Theta Ser. Adv. Math., 19 (2017), 91–123.
    [5] J. Hu, X. Li, D. Qu, Embedding derivatives of Fock spaces and generalized weighted composition operators, J. Nonlinear Var. Anal., 5 (2021), 589–613. http://dx.doi.org/10.23952/jnva.5.2021.4.07 doi: 10.23952/jnva.5.2021.4.07
    [6] H. Hu, S. Ye, Norm of the Hilbert matrix operator between some spaces of analytic functions, J. Geom. Anal., 35 (2025), Paper No. 184, 21 pp. https://doi.org/10.1007/s12220-025-02023-2 doi: 10.1007/s12220-025-02023-2
    [7] J. Isralowitz, K. Zhu, Toeplitz operators on the Fock space, Integr. Equat. Operat. Theor., 66 (2010), 593–611. http://dx.doi.org/10.1007/s00020-010-1768-9 doi: 10.1007/s00020-010-1768-9
    [8] D. Luecking, Forward and reverse Carleson inequalities for functions in Bergman spaces and their derivatives, Amer. J. Math., 107 (1985), 85–111. http://dx.doi.org/10.2307/2374458 doi: 10.2307/2374458
    [9] T. Mengestie, Volterra type and weighted composition operators on weighted Fock spaces, Integr. Equat. Oper. Th., 76 (2013), 81–94. http://dx.doi.org/10.1007/s00020-013-2050-8 doi: 10.1007/s00020-013-2050-8
    [10] C. Tong, J. Li, H. He, H. Arroussi, Reverse Carleson measures on the weighted Bergman spaces with invariant weight, Ann. Funct. Anal., 12 (2021), Paper No. 56, 28 pp. http://dx.doi.org/10.1007/s43034-021-00139-4 doi: 10.1007/s43034-021-00139-4
    [11] Z. Wang, X. Zhao, Invertibility of Fock Toeplitz operators with positive symbols, J. Math. Anal. Appl., 435 (2015), 1335–1351. http://dx.doi.org/10.1016/j.jmaa.2015.11.020 doi: 10.1016/j.jmaa.2015.11.020
    [12] K. Zhu, Analysis on Fock Spaces, New York: Springer, 2012. http://dx.doi.org/10.1007/978-1-4419-8801-0
    [13] Z. Zhuo, Z. Lou, Sampling measure on doubling Fock spaces, J. Geom. Anal., 33 (2023), Paper No. 313. http://dx.doi.org/10.1007/s12220-023-01380-0 doi: 10.1007/s12220-023-01380-0
  • Reader Comments
  • © 2026 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Metrics

Article views(60) PDF downloads(5) Cited by(0)

Article outline

Other Articles By Authors

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return

Catalog