An example of removable singularities for bounded holomorphic functions

Jiří Matyska

Časopis pro pěstování matematiky (1980)

  • Volume: 105, Issue: 2, page 133-146
  • ISSN: 0528-2195

How to cite

top

Matyska, Jiří. "An example of removable singularities for bounded holomorphic functions." Časopis pro pěstování matematiky 105.2 (1980): 133-146. <http://eudml.org/doc/21422>.

@article{Matyska1980,
author = {Matyska, Jiří},
journal = {Časopis pro pěstování matematiky},
keywords = {analytic capacity; removable singularities; bounded analytic functions; Denjoy conjecture},
language = {eng},
number = {2},
pages = {133-146},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {An example of removable singularities for bounded holomorphic functions},
url = {http://eudml.org/doc/21422},
volume = {105},
year = {1980},
}

TY - JOUR
AU - Matyska, Jiří
TI - An example of removable singularities for bounded holomorphic functions
JO - Časopis pro pěstování matematiky
PY - 1980
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 105
IS - 2
SP - 133
EP - 146
LA - eng
KW - analytic capacity; removable singularities; bounded analytic functions; Denjoy conjecture
UR - http://eudml.org/doc/21422
ER -

References

top
  1. L. Ahlfors, Bounded analytic functions, Duke Math. J. 14 (1947), 1-11. (1947) Zbl0030.03001MR0021108
  2. A. Denjoy, Notice sur les travaux scientifiques, Paris, Hermann, 1934 (in А. Denjoy: Аrticles et Mémoires II, Gauthiers-Villars, Paris, 1955, pp. 983-1078). (1934) 
  3. J. Fuka J. Král, Аnalytic capacity and linear measure, Czech. Math. Ј. 28 (1978), 445-461. (1978) MR0492224
  4. T. W. Gamelin, Uniform algebras, Prentice-Hall 1969. (1969) Zbl0213.40401MR0410387
  5. J. Garnett, Positive length but zero analytic capacity, Proc. Аmer. Math. Soc. 24 (1970), 696-699. (1970) Zbl0208.09803MR0276456
  6. J. Garnett, Аnalytic capacity and measure, Lecture Notes in Math. vol. 217, Springer-Verlag 1972. (1972) Zbl0253.30014MR0454006
  7. L. D. lvanov, Ob analitičeskoj jemkosti linějnych množestv, Uspechi mat. nauk 17 (1962), No 6, 143-144. (1962) MR0162960
  8. L. D. Ivanov, O gipotěze Danžura, Uspechi mat. nauk 18 (1963), No 4, 147-149. (1963) MR0156995
  9. L. D. Ivanov, Variacii množestv i funkcij, Nauka, Moskva 1975. (1975) MR0476953
  10. M. S. Meľnikov S. V. Sinanjan, Voprosy teorii približenij funkcij odnogo kompleksnogo peremennogo, Sovremennyje problemy matematiky 4 (1975), 143-250. (1975) 
  11. P. Painlevé, Sur les lignes singulières des fonctions analytiques, Аnn. Fac. Sci. Toulouse, Sci. Math. et Sci. Phys. 2 (1888) 1-130. Zbl19.0353.03
  12. Ch, Pommerenke, Über die analytische Kapazität, Аrchiv der Math. II (1960), 270-274. (1960) Zbl0094.04602MR0114924
  13. N. A. Široкov, Аnalitičeskaja jemkosť množestv blizkich k gladkoj krivoj, Vestn. Lenin. univ. 4 (1973), No 19, 73-78. (1973) 
  14. A. G. Vituškin, Аnalitičeskaja jemkosť množestv i někotoryje jejo svojstva, Doklady АN SSSR 123 (1958), 778-781. (1958) 
  15. A. G. Vituškin, Primer množestva položitěľnoj dliny, no nulevoj analitičeskoj jemkosti, Doklady АN SSSR 127 (1959), 246-249. (1959) 
  16. A. P. Calderón, Cauchy integrals on Lipschitz curves and related operators, Proc. Nat. Аcad. Sci. USА 4 (74) 1977, 1324-1327. (1977) Zbl0373.44003MR0466568
  17. A. M. Davie, Аnalytic capacity and approximation problems, Trans. Аmer. Math. Soc. 174 (1972), 409-444. (1972) Zbl0263.30032MR0350009
  18. V. P. Havin S. J. Havinson, Někotoryje ocenki analitičeskoj jemkosti, Doklady АN SSSR 138 (1961), 789-792. (1961) MR0131529
  19. V. P. Havin, Graničnyje svojstva integralov tipa Koši i garmoničeski soprjažennych funkcij v oblasťach so sprjaml'ajemoj granicej, Matem. sbornik 68 (110) 1965, 499-517. (1965) 

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.