N-harmonic extensions of weighted integrable distributions | Zendy

Josefina Álvarez | Zendy; Martha Guzmán–Partida | Zendy; Salvador PérezEsteva | Zendy

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N-harmonic extensions of weighted integrable distributions

Author(s) -

Josefina Álvarez,

Martha Guzmán–Partida,

Salvador PérezEsteva

Publication year - 2006

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2006/165314

Subject(s) - cartesian product , integrable system , mathematics , harmonic , cartesian coordinate system , product (mathematics) , product topology , plane (geometry) , kernel (algebra) , poisson kernel , poisson distribution , mathematical analysis , space (punctuation) , domain (mathematical analysis) , pure mathematics , geometry , combinatorics , physics , computer science , statistics , quantum mechanics , operating system

We obtain n-harmonic extensions to the Cartesian product of ncopies of the upper half-plane, of distributions in the weighted space w12?wn2DL1', which is known to be the optimal space of tempered distributions that are S'-convolvable with a natural product domain version of the Poisson kernel

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