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Comparison theorems of isoperimetric type for moments of compact sets

  • Autores: F.G. Avkhadiev, I.R. Kayumov
  • Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 55, Fasc. 1, 2004, págs. 1-10
  • Idioma: inglés
  • Enlaces
  • Resumen
    • A unified approach to prove isoperimetric inequalities for moments and basic inequalities of interpolation spaces $L(p, q)$ is developed. Instead symmetrisation methods we use a monotonicity property of special Stiltjes’ means

  • Referencias bibliográficas
    • S. Albeverio, J.E. Fenstad, R. Høegh-Krohn, and T. Lindstrøm, Nonstandard Methods in Stochastic Analysis and Mathematical Physics, Academic...
    • C. Bandle, Isoperimetric Inequalities and Applications, Pitman (Advanced Publishing Program), Boston, Mass.-London, 1980.
    • E.F. Beckenbach and R. Bellman, Inequalities, Springer-Verlag, 1961.
    • J. Bergh, A converse inequality of Hölder type, Math. Z. 215 (1994), 205–208.
    • J. Bergh, V. Burenkov, and L.E. Persson, Best constants in reversed Hardy’s inequalities for quasi-monotone functions, Acta Sci. Math. (Szeged)...
    • J. Bergh, V. Burenkov, and L.E. Persson, On some sharp reversed Hölder and Hardy type inequalities, Math. Nachr. 169 (1994), 19–29.
    • G. Cassier, Problème des moments sur un compact de $\mathbb{R}^n$ et décomposition de polynômes à plusieurs variables, J. Funct. Anal. 58...
    • R.E. Edwards, Functional Analysis, Theory and Applications, Holt, Rinehart and Winston, 1965.
    • G. Hardy, J.E. Littlewood, and G. Pólya, Inequalities, Cambridge University Press, Cambridge, 1967.
    • A.W. Marshall and I. Olkin, Inequalities: Theory of Majorization and Its Applications, Academic Press, Inc., 1979.
    • E.A. Mysinikov, L.E. Persson, and Y.D. Stepanov, On the best constants in certain integral inequalities for monotone functions, Acta Sci....
    • J.E. Pečarić and L.E. Persson, On Bergh’s inequality for quasi-monotone functions, J. Math. Anal. Appl. 195 (1995), 393–400.
    • G. Pólya and G. Szegö, Isoperimetric Inequalities in Mathematical Physics, Princeton University Press, Princeton, N.J., 1951.
    • M. Putinar and E.-H. Vasilescu, Solving moment problems by dimensional extension, Ann. of Math. 149 (1999), 1087–1107.
    • E.M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton University Press, 1970.
    • E.M. Stein and G. Weiss, Introduction to Fourier Analysis on Euclidean Spaces, Princeton University Press, 1971.

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