Hardy spaces of conjugate temperatures

• Autorzy: Martha Guzmán-Partida
• Języki publikacji: EN

Abstrakty

EN

We define Hardy spaces of pairs of conjugate temperatures on $ℝ_{+}^{2}$ using the equations introduced by Kochneff and Sagher. As in the holomorphic case, the Hilbert transform relates both components. We demonstrate that the boundary distributions of our Hardy spaces of conjugate temperatures coincide with the boundary distributions of Hardy spaces of holomorphic functions.

Kategorie tematyczne

• 35K05: Heat equation
• 42A50: Conjugate functions, conjugate series, singular integrals
• 42B30: H p -spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1997
• Tom: 122
• Numer: 2
• Strony: 153-165

Daty

wydano

1997

otrzymano

1995-11-03

poprawiono

1996-09-23

Twórcy

autor

Martha Guzmán-Partida

• Instituto de Matematicas, Universidad Nacional Autónoma de México, Ciudad Universitaria, México, D.F., 04510, Mexico

Bibliografia

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