A characterization of weighted ( L B ) -spaces of holomorphic functions having the dual density condition

Elke Wolf

Czechoslovak Mathematical Journal (2008)

  • Volume: 58, Issue: 3, page 741-749
  • ISSN: 0011-4642

Abstract

top
We characterize when weighted ( L B ) -spaces of holomorphic functions have the dual density condition, when the weights are radial and grow logarithmically.

How to cite

top

Wolf, Elke. "A characterization of weighted $(LB)$-spaces of holomorphic functions having the dual density condition." Czechoslovak Mathematical Journal 58.3 (2008): 741-749. <http://eudml.org/doc/37865>.

@article{Wolf2008,
abstract = {We characterize when weighted $(LB)$-spaces of holomorphic functions have the dual density condition, when the weights are radial and grow logarithmically.},
author = {Wolf, Elke},
journal = {Czechoslovak Mathematical Journal},
keywords = {$(LB)$-spaces; weighted spaces of holomorphic functions; dual density condition; -spaces; weighted spaces of holomorphic functions; dual density condition},
language = {eng},
number = {3},
pages = {741-749},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A characterization of weighted $(LB)$-spaces of holomorphic functions having the dual density condition},
url = {http://eudml.org/doc/37865},
volume = {58},
year = {2008},
}

TY - JOUR
AU - Wolf, Elke
TI - A characterization of weighted $(LB)$-spaces of holomorphic functions having the dual density condition
JO - Czechoslovak Mathematical Journal
PY - 2008
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 58
IS - 3
SP - 741
EP - 749
AB - We characterize when weighted $(LB)$-spaces of holomorphic functions have the dual density condition, when the weights are radial and grow logarithmically.
LA - eng
KW - $(LB)$-spaces; weighted spaces of holomorphic functions; dual density condition; -spaces; weighted spaces of holomorphic functions; dual density condition
UR - http://eudml.org/doc/37865
ER -

References

top
  1. Anderson, J. M., Duncan, J., 10.1017/S0017089500009241, Glasgow Math. J. 32 (1990), 215-220. (1990) Zbl0769.46011MR1058534DOI10.1017/S0017089500009241
  2. Bastin, F., 10.1017/S0013091500005538, Proc. Edinb. Math. Soc., II. Ser. 35 271-283. Zbl0738.46006MR1169245DOI10.1017/S0013091500005538
  3. Bierstedt, K. D., Bonet, J., 10.1002/mana.19881350115, Math. Nachr. 135 (1988), 149-180. (1988) MR0944226DOI10.1002/mana.19881350115
  4. Bierstedt, K. D., Bonet, J., 10.1007/BF03323229, Results Math. 14 (1988), 242-274. (1988) Zbl0688.46002MR0964043DOI10.1007/BF03323229
  5. Bierstedt, K. D., Bonet, J., Dual density conditions in ( D F ) -spaces II, Bull. Soc. Roy. Sci. Liège 57 (1988), 567-589. (1988) Zbl0688.46003MR0986374
  6. Bierstedt, K. D., Bonet, J., Biduality in ( L F )-spaces, RACSAM Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Math. 95 (2001), 171-180. (2001) Zbl1034.46001MR1902422
  7. Bierstedt, K. D., Bonet, J., Galbis, A., 10.1307/mmj/1029004753, Michigan Math. J. 40 (1993), 271-297. (1993) Zbl0803.46023MR1226832DOI10.1307/mmj/1029004753
  8. Bierstedt, K. D., Bonet, J., Taskinen, J., Associated weights and spaces of holomorphic functions, Studia Math. 127 (1998), 137-168. (1998) Zbl0934.46027MR1488148
  9. Bierstedt, K. D., Meise, R., Summers, W. H., 10.1090/S0002-9947-1982-0656483-9, Trans. Amer. Math. Soc. 272 (1982), 107-160. (1982) Zbl0599.46026MR0656483DOI10.1090/S0002-9947-1982-0656483-9
  10. Bonet, J., Engliš, M., Taskinen, J., 10.4064/sm171-1-4, Studia Math. 171 (2005), 67-92. (2005) MR2182272DOI10.4064/sm171-1-4
  11. Heinrich, S., 10.1002/mana.19841180121, Math. Nachr. 118 (1984), 285-315. (1984) Zbl0576.46002MR0773627DOI10.1002/mana.19841180121
  12. Jarchow, H., Locally Convex Spaces, Math. Leitfäden, B.G. Teubner, Stuttgart (1981). (1981) Zbl0466.46001MR0632257
  13. Köthe, G., Topological Vector Spaces I, Grundlehren der math. Wiss. 159, Springer-Verlag, New York-Berlin (1969). (1969) MR0248498
  14. Meise, R., Vogt, D., Introduction to Functional Analysis, Oxford Graduate Texts in Math. 2, The Clarendon Press, Oxford University Press, New York (1997). (1997) Zbl0924.46002MR1483073
  15. Pérez-Carreras, P., Bonet, J., Barrelled Locally Convex Spaces, North-Holland Math. Stud. 131, Amsterdam (1987). (1987) MR0880207
  16. Peris, A., 10.1007/BF01197327, Arch. Math. (Basel) 59 (1992), 286-293. (1992) Zbl0732.46002MR1174407DOI10.1007/BF01197327
  17. Wolf, E., Weighted ( L B ) -spaces of holomorphic functions and the dual density conditions, RACSAM Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Mat. 99 (2005), 149-165. (2005) Zbl1106.46017MR2216098
  18. Wolf, E., 10.1016/j.jmaa.2006.06.071, J. Math. Anal. Appl. 327 (2007), 530-546. (2007) MR2306820DOI10.1016/j.jmaa.2006.06.071

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.