Titlebook: Bounded and Compact Integral Operators; David E. Edmunds,Vakhtang Kokilashvili,Alexander M Book 2002 Springer Science+Business Media B.V.

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978-90-481-6018-1Springer Science+Business Media B.V. 2002

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Lunar and Planetary Webcam User‘s Guides to give complete descriptions of those pairs of weight functions for which these fractional integrals generate operators which are bounded or compact from one weighted Banach function space into another. This problem was studied earlier by many authors, for instance, for fractional Riemann-Liouvil

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,Webcams, Plus a “Quick Start” Guide,mander type. We establish ..↑.. (1 < . ≤ . < ∞) boundedness criteria which are very easy to verify. The proofs depend heavily on the results on the Riemann-Liouville operator which were derived in the previous chapter. Then follows a study, from the point of view of boundedness and compactness, of p

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Planetary Webcams and Their Alternatives,rest in ball fractional integrals (BFI’s) arises from the fact that Riesz potentials ... over a ball . may be represented by a composition of such integrals. This enables one to derive necessary and sufficient solvability conditions for the equation I.φ = . in Lebesgue spaces with power weights and

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