Displaying similar documents to “Remarks on subharmonic envelopes.”

Divergence forms of the infinity-Laplacian.

Luigi D'Onofrio, Flavia Giannetti, Tadeusz Iwaniec, Juan Manfredi, Teresa Radice (2006)

Publicacions Matemàtiques

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The central theme running through our investigation is the infinity-Laplacian operator in the plane. Upon multiplication by a suitable function we express it in divergence form, this allows us to speak of weak infinity-harmonic function in W1,2. To every infinity-harmonic function u we associate its conjugate function v. We focus our attention to the first order Beltrami type equation for h= u + iv

On the Toëplitz corona problem.

Eric Amar (2003)

Publicacions Matemàtiques

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The aim of this note is to characterize the vectors g = (g, . . . ,g) of bounded holomorphic functions in the unit ball or in the unit polydisk of C such that the Corona is true for them in terms of the H Corona for measures on the boundary.