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On the Range and Invertibility of a Class of Melon Multiplier Transforms III
Published online by Cambridge University Press: 20 November 2018
Abstract
We continue to develop the theory of previous papers concerning transforms corresponding to Mellin multipliers which involve products and/or quotients of Γ-functions. We show that, by working with certain subspaces of Lp,μ consisting of smooth functions, we can simplify considerably the restrictions on the parameters which were necessary in the Lp,μ setting. As a result, operators in our class become homeomorphisms on these subspaces under conditions of great generality.
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- Research Article
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- Copyright © Canadian Mathematical Society 1991