Geodesic
On the Range and Invertibility of a Class of Melon Multiplier Transforms III
Canadian journal of mathematics, Tome 43 (1991) no. 6, pp. 1323-1338

Voir la notice de l'article provenant de la source Cambridge University Press

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 L p,μ consisting of smooth functions, we can simplify considerably the restrictions on the parameters which were necessary in the L p,μ setting. As a result, operators in our class become homeomorphisms on these subspaces under conditions of great generality.
DOI : 10.4153/CJM-1991-076-2
Mots-clés : 42A45, 44A15 
McBride, A. C.; Spratt, W. J. On the Range and Invertibility of a Class of Melon Multiplier Transforms III. Canadian journal of mathematics, Tome 43 (1991) no. 6, pp. 1323-1338. doi: 10.4153/CJM-1991-076-2
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