On spaces of potentials connected with L p classes

Nachman Aronszajn; Szeptycki P.

Annales de l'institut Fourier (1963)

  • Volume: 13, Issue: 2, page 211-306
  • ISSN: 0373-0956

How to cite

top

Aronszajn, Nachman, and Szeptycki P.. "On spaces of potentials connected with $L^p$ classes." Annales de l'institut Fourier 13.2 (1963): 211-306. <http://eudml.org/doc/73808>.

@article{Aronszajn1963,
author = {Aronszajn, Nachman, Szeptycki P.},
journal = {Annales de l'institut Fourier},
keywords = {functional analysis},
language = {eng},
number = {2},
pages = {211-306},
publisher = {Association des Annales de l'Institut Fourier},
title = {On spaces of potentials connected with $L^p$ classes},
url = {http://eudml.org/doc/73808},
volume = {13},
year = {1963},
}

TY - JOUR
AU - Aronszajn, Nachman
AU - Szeptycki P.
TI - On spaces of potentials connected with $L^p$ classes
JO - Annales de l'institut Fourier
PY - 1963
PB - Association des Annales de l'Institut Fourier
VL - 13
IS - 2
SP - 211
EP - 306
LA - eng
KW - functional analysis
UR - http://eudml.org/doc/73808
ER -

References

top
  1. [1] N. ARONSZAJN and K. T. SMITH, Functional spaces and functional completion, Ann. de l'Inst. Fourier, Vol. VI, 1956, pp. 125-185. Zbl0071.33003MR18,319c
  2. [2] N. ARONSZAJN and K. T. SMITH, Theory of Bessel Potentials, Part I, Ann. de l'Inst. Fourier, Vol. XI, 1961, pp. 385-475. Zbl0102.32401MR26 #1485
  3. [3] N. ARONSZAJN and K. T. SMITH, Theory of Bessel Potentials, Part II, Technical Report 26, University of Kansas 1961. Zbl0102.32401
  4. [4] N. ARONSZAJN. Associated spaces, interpolation theorems and the regularity of solutions of differential problems, Proc. of Symp. in Pure Math., Vol. IV, Partial Differential Equations 1961, pp. 23-32. Zbl0196.40803MR25 #4268
  5. [5] O. V. BESOV, On a family of functional spaces. Theorems about restrictions and extensions. Dokl. Ak. Nauk SSSR, 126, 6, 1959, pp. 1163-1165. Zbl0097.09701
  6. [6] A. P. Calderon, Lebesgue spaces of differentiable functions and distributions, Proc. of Symp. in Pure Mathematics, Vol IV, Partial Differential Equations 1961, pp. 33-49. Zbl0195.41103MR26 #603
  7. [7] A. P. CALDERON and A. ZYGMUND, On singular integrals, Am. Jour. Math., Vol. 28, 2, 1956, pp. 289-309. Zbl0072.11501MR18,894a
  8. [8] W. FLEMING, Functions whose partial derivatives are measures, Bull. Am. Math. Soc., 64, 1958, pp. 364-366. Zbl0092.05401MR20 #5844
  9. [9] B. FUGLEDE, Extremal length and functional completion, Acta Math. Vol. 98, 1957, pp. 171-219. Zbl0079.27703MR20 #4187
  10. [10] G. H. HARDY, J. E. LITTLEWOOD and G. POLYA, Inequalities, Cambridge, 1959. Zbl0010.10703JFM60.0169.01
  11. [11] E. GAGLIARDO, Caratterizzazioni della tracce sulla frontiera relative ad alcune classi di funzioni in n variabili, Rendiconti Sem. Mat. Padova, Vol. 27, 1957, pp. 284-305. Zbl0087.10902MR21 #1525
  12. [11a] E. GAGLIARDO, On integral transformations with positive kernel, to appear in Proc. A. M. S. Zbl0161.32404
  13. [12] S. M. NIKOLSKII, Theorems about restrictions, extensions, and approximations of differentiable functions of several variables (survey article), Usp. Mat. Nauk., Vol. 16, 5, 1961, pp. 63-114. 
  14. [13] L. SCHWARTZ, Théorie des distributions, Vol I, II, Paris, 1950-1951. Zbl0042.11405
  15. [14] L. I. I. SLOBODECKII, Spaces of S. L. Sobolev of fractional order, Dokl. Akad. Nauk. SSSR., Vol. 118, 1958, pp. 243-246. Zbl0088.30302
  16. [15] E. M. STEIN, Interpolation of linear operators, Trans. Amer. Math. Soc., Vol. 83 1956. Zbl0072.32402MR18,575d
  17. [16] E. M. STEIN and G. WEISS, Interpolation of operators with change of measures, Trans. Am. Math. Soc. Vol. 87, 1958. Zbl0083.34301MR19,1184d
  18. [17] E. M. STEIN, The characterization of functions arising as potentials I, Bull. Am. Math. Soc., Vol. 67, 1961, pp. 102-104. Zbl0127.32002MR23 #A1051
  19. [18] E. M. STEIN, The characterization of functions arising as potentials II, Bull. Am. Math. Soc., Vol. 68, 1962, pp. 577-584. Zbl0127.32002MR26 #547
  20. [19] M. H. TAIBLESON, Lipschitz classes of functions and distributions in En, Bull. A.M.S., 69, 4, 1963. Zbl0123.30502MR27 #577
  21. [20] O. THORIN, Convexity theorems, Upsala, 1948. 
  22. [21] A. C. ZAANEN, Linear Analysis, Amsterdam Groningen, 1953. Zbl0053.25601

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.