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Research articles

Associated weights for spaces of p-integrable entire functions

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Pages 747-760 | Received 17 Dec 2018, Published online: 17 Apr 2019

References

  • W. Al-Rawashdeh, Compact Weighted Composition Operators Between General- ized Fock Spaces, Missouri J. Math. Sci. 28(1) (2016), 62–75.
  • S. Bargmann, On a Hilbert space of analytic functions and an associated integral transform, Commun. Pure Appl. Math. 24 (1961), 187–214. doi: 10.1002/cpa.3160140303
  • K.D. Bierstedt, J. Bonet, and A. Galbis, Weighted spaces of Holomorphic func- tions on balanced domains, Michigan Math. J. 40(2) (1993), 271–297. doi: 10.1307/mmj/1029004753
  • K.D. Bierstedt, J. Bonet, and J. Taskinen, Associated weights and spaces of holomorphic functions, Studia Math. 127 (1998), 137–168.
  • O. Blasco, Boundedness of Volterra operators in spaces of entire functions, Ann. Acad. Sci. Fenn. Math. 43(1) (2018), 89–107. doi: 10.5186/aasfm.2018.4303
  • O. Blasco, Operators on Fock-type and weighted spaces of entire functions, 2018, preprint.
  • J. Bonet, M. Fritz, and E. Jorda, Composition operators between weighted in- ductive limits of spaces of holomorphic functions, Publ. Math. 67(3) (2005), 333–348.
  • J. Bonet and J. Taskinen, A note about Volterra operators on weighted Banach spaces of entire functions, Math. Nachr. 288 (2015), 1216–1225. doi: 10.1002/mana.201400099
  • A. Borichev, The polynomial approximation property in Fock-type spaces, Math. Scand. 82 (1998), 256–264. doi: 10.7146/math.scand.a-13836
  • B. Carswell, B. MacCluer, and A. Schuster, Composition operators on the Fock space, Acta Sci. Math. (Szeged) 69 (2003), 871–887.
  • C. Cascante, J. Fábrega, and J. Peláez, Littlewood-Paley formulas and Carleson measures for weighted Fock spaces induced by A∞-type weights, Potential Anal. (2018), https://doi.org/10.1007/s11118-018-9680-z.
  • H.R. Cho, B.R. Choe, and H. Koo, Linear combination of composition operators on the Fock-Sobolev spaces, Potential Anal. 4(4) (2014), 1223–1246. doi: 10.1007/s11118-014-9417-6
  • H.R. Cho and K. Zhu, Fock-Sobolev spaces and their Carleson measures, J. Funct. Anal. 263 (2012), 2483–2506. doi: 10.1016/j.jfa.2012.08.003
  • O. Constantin and J.A. Peláez, Integral operators, Embedding theorems and a Littlewood-Paley formula on Fock spaces, J. Geom. Anal. 26(2) (2016), 1109–1154. doi: 10.1007/s12220-015-9585-7
  • G.B. Folland, Harmonic Analyis in Phase spaces, Princeton University Press, Princeton, New Jersey, 1989.
  • A. Galbis, Weighted Banach spaces of entire functions, Archiv Math. 62 (1994), 58–64. doi: 10.1007/BF01200439
  • T. Le, Normal and isometric weighted composition operators on the Fock space, Bull. London Math. Soc. 46(4) (2014), 847–856. doi: 10.1112/blms/bdu046
  • W. Lusky, On the isomorphism classes of weighted spaces of harmonic and holomor- phic functions, Studia Math. 175 (2006), 19–45. doi: 10.4064/sm175-1-2
  • N. Marco, M. Massaneda, and J. Ortega-Cerdà, Interpolating and sampling sequences for entire functions, Geom. Funct. Anal. 13 (2003), 862–914, doi: 10.1007/s00039-003-0434-7
  • J. Ortega-Cerdà, Sampling measures, Publ. Mat. 42(2) (1998), 559–566. doi: 10.5565/PUBLMAT_42298_16
  • A.P. Schuster and D. Varolin, Toeplitz Operators and Carleson Measures on Generalized Bargmann-Fock Spaces, Integr. Equ. Oper. Theory 72 (2012), 363–392. doi: 10.1007/s00020-011-1939-3
  • I. Segal, Mathematical problems of relativistic physics, In: Proceedings of the Sum- mer Seminar, Boulder, Colorado, M. Kac, ed., Vol. II, 1960, Lectures in Applied Mathematics, American Mathematical Society, Providence, RI, 1963.
  • K. Seip and E.H. Youssfi, Hankel Operators on Fock Spaces and related Bergman kernel estimates, J. Geom. Anal. 23 (2013), 170–201. doi: 10.1007/s12220-011-9241-9
  • S. Stevic, Weighted composition operators between Fock-type spaces in CN, Appl. Math. Comput. 215 (2009), 2750–2760.
  • J. Stochel and J.B. Stochel, Composition operators on Hilbert spaces of entire functions with analytic symbols, J. Math. Anal. Appl. 454 (2017), 1019–1066. doi: 10.1016/j.jmaa.2017.05.021
  • P.T. Tien and L.H. Khoi, Weighted composition operators between different Fock spaces, Potential Anal. (2018), https://doi.org/10.1007/s11118-017-9678-y.
  • S. Ueki, Weighted composition operator on the Fock space, Proc. Amer. Math. Soc. 35 (2007), 1405–1410. doi: 10.1090/S0002-9939-06-08605-9
  • S. Ueki, Weighted composition operators on the Bargmann-Fock spaces, International Journal of Modern Mathematics 3 (2008), 231–243.
  • S. Ueki, Weighted composition operators on some function spaces of entire functions, Bull. Belg. Math. Soc. Simon Stevin 17 (2010), 343–353.
  • K. Zhu, Analysis on Fock Spaces, Springer-Verlag, New York, 2012.

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