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Czasopismo

1997 | 123 | 2 | 109-116

Tytuł artykułu

A condition implying boundedness and VMO for a function f

Treść / Zawartość

Języki publikacji

EN

Abstrakty

EN
Some boundedness and VMO results are proved for a function f integrable on a cube $Q_0$, starting from an integral bound.

Twórcy

  • DIIMA, Università di Salerno, Via S. Allende, Baronissi, Italy

Bibliografia

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  • [3] B. Bojarski, Remarks on the stability of reverse Hölder inequalities and quasiconformal mappings, Ann. Acad. Sci. Fenn. Ser. AI Math. 10 (1985), 89-94.
  • [4] M. Bramanti and M. C. Cerutti, $W^1,2_p$ solvability for the Cauchy-Dirichlet problem for parabolic equations with VMO coefficients, Comm. Partial Differential Equations 18 (1993), 1735-1763.
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  • [8] F. Chiarenza, M. Frasca and P. Longo, $W^2,p$-solvability of the Dirichlet problem for nondivergence elliptic equations with VMO coefficients, Trans. Amer. Math. Soc. 336 (1993), 841-853.
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  • [16] A. Korenovskii, One refinement of the Gurov-Reshetnyak inequality, preprint, Université de Toulon et du Var.
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  • [18] S. Spanne, Some function spaces defined using the mean oscillation over cubes, Ann. Scuola Norm. Sup. Pisa 19 (1965), 593-608.

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