Voir la notice de l'article provenant de la source Cambridge University Press
Duff, G. F. D. A General Integral Inequality for the Derivative of an Equimeasurable Rearrangement. Canadian journal of mathematics, Tome 28 (1976) no. 4, pp. 793-804. doi: 10.4153/CJM-1976-076-0
@article{10_4153_CJM_1976_076_0,
author = {Duff, G. F. D.},
title = {A {General} {Integral} {Inequality} for the {Derivative} of an {Equimeasurable} {Rearrangement}},
journal = {Canadian journal of mathematics},
pages = {793--804},
year = {1976},
volume = {28},
number = {4},
doi = {10.4153/CJM-1976-076-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1976-076-0/}
}
TY - JOUR AU - Duff, G. F. D. TI - A General Integral Inequality for the Derivative of an Equimeasurable Rearrangement JO - Canadian journal of mathematics PY - 1976 SP - 793 EP - 804 VL - 28 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1976-076-0/ DO - 10.4153/CJM-1976-076-0 ID - 10_4153_CJM_1976_076_0 ER -
%0 Journal Article %A Duff, G. F. D. %T A General Integral Inequality for the Derivative of an Equimeasurable Rearrangement %J Canadian journal of mathematics %D 1976 %P 793-804 %V 28 %N 4 %U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1976-076-0/ %R 10.4153/CJM-1976-076-0 %F 10_4153_CJM_1976_076_0
[1] 1. Bliss, G. A., An integral inequality, J. Lond. Math. Soc. 5 (1930), 40–46. Google Scholar
[2] 2. Chandrasekhar, S., Introduction to the study of stellar structure (Univ. of Chicago Press, 1939, reprinted Dover, 1957). Google Scholar
[3] 3. Duff, G. F. D., Differences, derivatives and decreasing rearrangements, Can. J. Math. 19 (1967), 1153–1178. Google Scholar
[4] 4. Duff, G. F. D., Integral inequalities for equimeasurable rearrangements, Can. J. Math. 22 (1970), 408–430. Google Scholar
[5] 5. Fowler, R. H., Further studies of Enden's and similar differential equations, Quart. J. Math. (Oxford Series) 2 (1931), 259–288. Google Scholar
[6] 6. Hardy, G. H. and Littlew∞d, J. E., Some properties of fractional integrals, I, Math. Zeit. 27 (1928) 565–606. Google Scholar
[7] 7. Hardy, G. H. and Littlew∞d, J. E., Notes on the theory of series (XII); On certain inequalities connected with the calculus of variations, J. Lond. Math. Soc. 5 (1930), 34–39. Google Scholar
[8] 8. Hardy, G. H. and Littlew∞d, J. E., A maximal theorem with function-theoretic application, Acta. Math. 5 (1930), 81–116. Google Scholar
[9] 9. Hardy, G. H., Littlew∞d, J. E. and Polya, G., Inequalities (Cambridge U.P. 1934). Google Scholar
[10] 10. Gradshteyn, I. S. and Ryshik, I. M., (trans. A. Jeffery), Tables of integrals, series and products (Academic Press, New York (1965). Google Scholar
[11] 11. Okikiolu, G. O., Aspects of the theory of bounded integral operators in Lp spaces (Academic Press, New York, 1971). Google Scholar
[12] 12. Polya, G. and G. Szegô, Isoperimetric inequalities in mathematical physics, Annals of Math. Studies £7 (Princeton, 1951). Google Scholar
[13] 13. Sobolev, S., On a theorem of functional analysis, Math. Sbornik (N.S.) 4 (1938), 471–497. Google Scholar
[14] 14. Talenti, G., Best constant in Sobolev inequality, Institute Matherriatico Ulisse Dini, Firenze, typescript report, 1974, 32 p. Google Scholar
Cité par Sources :