Displaying similar documents to “A rotation invariant differential equation for vector fields”

A comparison theorem for the Levi equation

Giovanna Citti (1993)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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We prove a strong comparison principle for the solution of the Levi equation L ( u ) = i = 1 n ( ( 1 + u t 2 ) ( u x i x i + u y i y i ) + ( u x i 2 + u y i 2 ) u t t + 2 ( u y i - u x i u t ) u x i t - 2 ( u x i + u y i u t ) u y i t + k ( x , y , t ) ( 1 + | D u | 2 ) 3 / 2 = 0 , applying Bony Propagation Principle.

Several characterizations for the special atom spaces with applications.

Geraldo Soares de Souza, Richard O'Neil, Gary Sampson (1986)

Revista Matemática Iberoamericana

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The theory of functions plays an important role in harmonic analysis. Because of this, it turns out that some spaces of analytic functions have been studied extensively, such as H-spaces, Bergman spaces, etc. One of the major insights that has developed in the study of H-spaces is what we call the real atomic characterization of these spaces.