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A Class of Operators on the Lorentz Space M(ϕ)
Published online by Cambridge University Press: 20 November 2018
Extract
In order to deal with certain problems in the theory of interpolation spaces, it is convenient to consider operators of the following form:
Let k be a non-negative measurable function on the half-line R+, and let ƒ be a measurable function on R+ with
1
Then the operator T is defined by
2
with the domain of T, D(T), consisting of all ƒ which satisfy (1).
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- Copyright © Canadian Mathematical Society 1967
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