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Currently displaying 1 – 3 of 3

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A new proof of Harnack's inequality for elliptic partial differential equations in divergence form.

Crescimbeni, Raquel; Forzani, Liliana; Perini, Alejandra — 2007

Electronic Journal of Differential Equations (EJDE) [electronic only]

Singular integral characterization of nonisotropic generalized BMO spaces

Raquel Crescimbeni — 2007

Commentationes Mathematicae Universitatis Carolinae

We extend a result of Coifman and Dahlberg [, Proc. Sympos. Pure Math., Vol. 35, pp. 231–234; Amer. Math. Soc., Providence, 1979] on the characterization of $H^{p}$ spaces by singular integrals of $ℝ^{n}$ with a nonisotropic metric. Then we apply it to produce singular integral versions of generalized BMO spaces. More precisely, if $T_{λ}$ is the family of dilations in $ℝ^{n}$ induced by a matrix with a nonnegative eigenvalue, then there exist $2 n$ singular integral operators homogeneous with respect to the dilations $T_{λ}$ that...

On one-sided BMO and Lipschitz functions

Hugo Aimar; Raquel Crescimbeni — 1998

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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