Negligible sets and good functions on polydiscs

Kohur Gowrisankaran

Annales de l'institut Fourier (1979)

  • Volume: 29, Issue: 2, page 211-222
  • ISSN: 0373-0956

Abstract

top
A notion of negligible sets for polydiscs is introduced. Some properties of non-negligible sets are proved. These results are used to construct good and good inner functions on polydiscs.

How to cite

top

Gowrisankaran, Kohur. "Negligible sets and good functions on polydiscs." Annales de l'institut Fourier 29.2 (1979): 211-222. <http://eudml.org/doc/74409>.

@article{Gowrisankaran1979,
abstract = {A notion of negligible sets for polydiscs is introduced. Some properties of non-negligible sets are proved. These results are used to construct good and good inner functions on polydiscs.},
author = {Gowrisankaran, Kohur},
journal = {Annales de l'institut Fourier},
keywords = {negligible sets; polydiscs; properties; good and good inner functions},
language = {eng},
number = {2},
pages = {211-222},
publisher = {Association des Annales de l'Institut Fourier},
title = {Negligible sets and good functions on polydiscs},
url = {http://eudml.org/doc/74409},
volume = {29},
year = {1979},
}

TY - JOUR
AU - Gowrisankaran, Kohur
TI - Negligible sets and good functions on polydiscs
JO - Annales de l'institut Fourier
PY - 1979
PB - Association des Annales de l'Institut Fourier
VL - 29
IS - 2
SP - 211
EP - 222
AB - A notion of negligible sets for polydiscs is introduced. Some properties of non-negligible sets are proved. These results are used to construct good and good inner functions on polydiscs.
LA - eng
KW - negligible sets; polydiscs; properties; good and good inner functions
UR - http://eudml.org/doc/74409
ER -

References

top
  1. [1] K. GOWRISANKARAN, Measurability of Functions in a Product Space, Proc. Amer. Math. Soc., 31 (1972), 485-488. Zbl0229.28006MR45 #496
  2. [2] K. GOWRISANKARAN, Multiply Superharmonic functions, Annales Inst. Fourier, XXV, Fasc. 3 et 4 (1975), 235-244. Zbl0303.31006MR53 #5918
  3. [3] L.L. HELMS, Introduction to Potential Theory, Wiley Interscience, 1973. Zbl0188.17203
  4. [4] R. M. HERVÉ, Recherches sur la théorie axiomatique des fonctions harmoniques et du potential, Annales Inst. Fourier, XII (1962), 415-571. Zbl0101.08103MR25 #3186
  5. [5] W. RUDIN, Function theory in polydiscs, Benjamin, 1969. Zbl0177.34101MR41 #501
  6. [6] E. SAWYER, Inner functions on Polydiscs, Ph.D. Thesis, McGill University August 1977. See also the paper in these Annales. Zbl0381.32007
  7. [7] L. SCHWARTZ, Radon measures on arbitrary topological spaces and cylindrical measures, Oxford Univ. Press, Bombay, 1973. Zbl0298.28001MR54 #14030

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.