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Functorial approach to interpolation of operators of weak type

✍ Scribed by S. V. Astashkin; V. I. Ovchinnikov

Publisher: SP MAIK Nauka/Interperiodica
Year: 1992
Tongue: English
Weight: 708 KB
Volume: 32
Category: Article
ISSN: 0037-4466
DOI: 10.1007/bf00970470

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Let T , U be two linear operators mapped onto the function f such that U(T (f ))= f but T (U(f )) = f . In this paper, interpolating the functions of type T (U(f )) is presented in a general case. As a special case, the linear operators T (f ) = x f (t) dt and U(f ) = df (x)/dx are considered to int