Fractional integration in Orlicz spaces

Sharpley, Robert

doi:10.1090/S0002-9939-1976-0410357-X

Fractional integration in Orlicz spaces
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Proc. Amer. Math. Soc. 59 (1976), 99-106 Request permission

Abstract:

Fractional integration and convolution results are given for Orlicz spaces using an inequality earlier developed for ${\Lambda _\alpha }(X)$ spaces which generalize Lorentz $L(p,q)$ spaces. The extension problem for convolution operators encountered previously by other authors is almost entirely avoided.

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Some points in the theory of trigonometric and power series

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