Cesari-Weierstrass surface integrals and lower k -area

J. C. Breckenridge

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1971)

  • Volume: 25, Issue: 3, page 423-446
  • ISSN: 0391-173X

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Breckenridge, J. C.. "Cesari-Weierstrass surface integrals and lower $k$-area." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 25.3 (1971): 423-446. <http://eudml.org/doc/83570>.

@article{Breckenridge1971,
author = {Breckenridge, J. C.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
language = {eng},
number = {3},
pages = {423-446},
publisher = {Scuola normale superiore},
title = {Cesari-Weierstrass surface integrals and lower $k$-area},
url = {http://eudml.org/doc/83570},
volume = {25},
year = {1971},
}

TY - JOUR
AU - Breckenridge, J. C.
TI - Cesari-Weierstrass surface integrals and lower $k$-area
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1971
PB - Scuola normale superiore
VL - 25
IS - 3
SP - 423
EP - 446
LA - eng
UR - http://eudml.org/doc/83570
ER -

References

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  1. [1] J.C. Breckenridge, Burkill-Cesari integrals of quasi additive interval functions. To appear. Zbl0226.28011MR313482
  2. [2] J.C. Breckenridge, Significant sets in surface area theory. To appear. Zbl0232.28011
  3. [3] L. Cesari, La nozione di integrale 80pra una superficie in forma parametrica. Ann. Scuola Norm. Sup. Pisa (2), vol 13 (1944), pp. 77-117. Zbl0029.29102MR24510
  4. [4] L. Cesari, L'area di Lebesgue come una misura. Rend. Mat. Appl. Roma, vol. 14 (1955), pp. 655-673. Zbl0065.28801MR73680
  5. [5] L. Cesari, Surface Area, Princeton University Press (1956). Zbl0073.04101MR74500
  6. [6] L. Cesari, Quasi additive set functions and the concept of integral over a variety. Trans. Amer. Math. Soc. vol. 102 (1962), pp. 94-113. Zbl0115.26902MR142723
  7. [7] L. Cesari, Extension problem for quasi additive set functions and Radon-Nikodym derivatives, Trans. Amer. Math. Soc. vol. 102 (1962), pp. 114-146. Zbl0115.27001MR142724
  8. [8] L. Cesari and L.H. Turner, Surface integrals and Radon-Nikodym derivatives, Rend. Circ. Mat. Palermo. vol.7 (1958), pp. 143-154. Zbl0087.27103MR104781
  9. [9] H. Federer, Currents and area, Trans. Amer. Math. Soc. vol. 98 (1961), pp. 204-233. Zbl0187.31302MR123682
  10. [10] R. Gariepy, Current valued measures and Geöcze area. Thesis. Wayne State University (1969). Zbl0235.28014
  11. [11] J.H. Michael, The convergence of measures on parametric surfaces, Trans. Amer. Math. Soc. vol. 107 (1963), pp. 140-152. Zbl0138.03602MR146352
  12. [12] T. Nishiura, The Geöcze k-area and a cylindrical property. Proc. Amer. Math. Soc. vol. 12 (1961), pp. 795.800. Zbl0113.04202MR125941
  13. [13] T. Nishiura, The Geöcze k-area and flat mappings, Rend. Ciro. Mat. Palermo. vol.11 (1962), pp. 105-125. Zbl0111.05702MR148855
  14. [14] T. Nishiura, Integrals over a product variety and Fubini theorems, Rend. Circ. Mat. Palermo. vol.14 (1965), pp. 207-236. Zbl0154.05302MR197685
  15. [15] T. Nishiura, Area measure and Radó's lower area. To appear. Zbl0226.28012
  16. [16] T. Radó, Length and Area. Amer. Math. Soc. Coll. Publ., 30. (1948). Zbl0033.17002MR24511
  17. [17] T. Radó and P.V. Reicheldehfer, Continuous Transformations in Analysis. Berlin, Springer (1955). 
  18. [18] G. Warner, The Burkill-Cesari integral. Duke Math. Journal. vol. 35 (1968), pp. 61-78. Zbl0165.06702MR219690
  19. [19] G. Warner, The generalized Weierstrass-type integral ∫ ∮ (ζ, ϕ ), Ann. Scuola Norm. Sup. Pisa (2). vol. 22 (1968), pp. 163-192. Zbl0174.09203

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