Complex interpolation functors with a family of quasi-power function parameters

• Autorzy: Ming Fan
• Języki publikacji: EN

Abstrakty

EN

For the complex interpolation functors associated with derivatives of analytic functions, the Calderón fundamental inequality is formulated in both additive and multiplicative forms; discretization, reiteration, the Calderón-Lozanovskiĭ construction for Banach lattices, and the Aronszajn-Gagliardo construction concerning minimality and maximality are presented. These more general complex interpolation functors are closely connected with the real and other interpolation functors via function parameters which are quasi-powers with a logarithmic factor.

Kategorie tematyczne

• 46B70: Interpolation between normed linear spaces
• 46M35: Abstract interpolation of topological vector spaces
• 46B03: Isomorphic theory (including renorming) of Banach spaces
• 46M15: Categories, functors

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1994
• Tom: 111
• Numer: 3
• Strony: 283-305

Daty

wydano

1994

otrzymano

1993-11-17

poprawiono

1994-03-15

Twórcy

autor

Ming Fan

• Department of Mathematics, Uppsala University, Box 480, S-751 06 Uppsala, Sweden

Bibliografia

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