Convergence in nonisotropic regions of harmonic functions in $𝔹^n$

• Autorzy: Carme Cascante , Joaquin M. Ortega
• Języki publikacji: EN

Abstrakty

EN

We study the boundedness in $L^p(𝕊^n)$ of the projections onto spaces of functions with spectrum contained in horizontal strips. We obtain some results concerning convergence along nonisotropic regions of harmonic extensions of functions in $L^p(𝕊^n)$ with spectrum included in these horizontal strips.

Słowa kluczowe

EN

harmonic and holomorphic functions; tangential convergence

Kategorie tematyczne

• 32A40: Boundary behavior of holomorphic functions
• 42B20: Singular and oscillatory integrals (Calder\'on-Zygmund, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1999
• Tom: 134
• Numer: 3
• Strony: 269-298

Daty

wydano

1999

otrzymano

1998-10-14

poprawiono

1998-11-10

Twórcy

autor

Carme Cascante

• Departament de Matemàtica Aplicada i Anàlisi, Facultat de Matemàtiques, Universitat de Barcelona, Gran Via 585, 08071 Barcelona, Spain

autor

Joaquin M. Ortega

• Departament de Matemàtica Aplicada i Anàlisi, Facultat de Matemàtiques, Universitat de Barcelona, Gran Via 585, 08071 Barcelona, Spain

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