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Complex Variables and Elliptic Equations
An International Journal
Volume 64, 2019 - Issue 11
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Original Articles

Atomic decomposition and duality for a class of Fock spaces

Zengjian LouDepartment of Mathematics, Shantou University, Shantou, People's Republic of ChinaView further author information
,
Kehe ZhuDepartment of Mathematics and Statistics, SUNY, Albany, NY, USACorrespondence[email protected]
View further author information
&
Zhengyuan ZhuoDepartment of Mathematics, Shantou University, Shantou, People's Republic of ChinaView further author information
Pages 1905-1931 | Received 07 Jul 2018, Accepted 09 Jan 2019, Published online: 20 Feb 2019

References

  • Zhu K. Analysis on Fock spaces. New York: Springer; 2012.
  • Lindholm N. Sampling in weighted Lp spaces of entire functions in Cn and estimates of the Bergman kernel. J Funct Anal. 2001;182:390–426. doi: 10.1006/jfan.2000.3733
  • Ortega-Cerdà J, Seip K. Beurling-type density theorems for weighted Lp spaces of entire functions. J Anal Math. 1998;75:247–266. doi: 10.1007/BF02788702
  • Cho H, Zhu K. Fock-Sobolev spaces and their Carleson measures. J Funct Anal. 2012;263:2483–2506. doi: 10.1016/j.jfa.2012.08.003
  • Bommier H, Youssfi H, Zhu K. Sarason's Toeplitz product problem for a class of Fock spaces. Bull Sci Math. 2017;141:408–442. doi: 10.1016/j.bulsci.2017.03.002
  • Seip K, Youssfi EH. Hankel operators on Fock spaces and related Bergman kernel estimates. J Geom Anal. 2013;23:170–201. doi: 10.1007/s12220-011-9241-9
  • Constantin O, Peláez JA. Integral operators, embedding theorems, and a Littlewood-Paley formula on weighted Fock spaces. J Geom Anal. 2016;26:1109–1154. doi: 10.1007/s12220-015-9585-7
  • Marco N, Massaneda X, Ortega-Cerdà J. Interpolating and sampling sequences for entire functions. Geom Funct Anal. 2003;13:862–914. doi: 10.1007/s00039-003-0434-7
  • Constantin O, Ortega-Cerdà J. Some spectral properties of the canonical solution operator to ∂¯ on weighted Fock spaces. J Math Anal Appl. 2011;377:353–361. doi: 10.1016/j.jmaa.2010.10.074
  • Hu Z, Lv X. Hankel operators on weighted Fock spaces(in chinese). Sci Sin Math. 2016;46:141–156.
  • Marzo J, Ortega-Cerdà J. Pointwise estimates for the Bergman kernel of the weighted Fock space. J Geom Anal. 2008;19:890–910. doi: 10.1007/s12220-009-9083-x
  • Oliver R, Pascuas D. Toeplitz operators on doubling Fock spaces. J Math Anal Appl. 2015;435:1426–1457. doi: 10.1016/j.jmaa.2015.11.023
  • Christ M. On the ∂¯ equation in weighted L2 norms in C1. J Geom Anal. 1991;1:193–230. doi: 10.1007/BF02921303
  • Dall'Ara GM. Pointwise estimates of weighted Bergman kernels in several complex variables. Adv Math. 2015;285:1706–1740. doi: 10.1016/j.aim.2015.06.024
  • Janson S, Peetre J, Rochberg R. Hankel forms and the Fock space. Revista Mat Iberoamericana. 1987;3:61–138. doi: 10.4171/RMI/46
  • Wallstén R. The Sp-criterion for Hankel forms on the Fock space, 0<p<1. Math Scand. 1989;64:123–132. doi: 10.7146/math.scand.a-12251
  • Constantin O, Peláez JA. Boundedness of the Bergman projection on Lp spaces with exponential weights. Bull Sci Math. 2013;139:245–268. doi: 10.1016/j.bulsci.2014.08.012
  • Arroussi H, Pau J. Reproducing kernel estimates, bounded projections, and duality on large weighted bergman spaces. J Geom Anal. 2015;25:2284–2312. doi: 10.1007/s12220-014-9513-2

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