Fractional integrals on Herz-Morrey spaces with variable exponent

Author:

Izuki Mitsuo

Publisher

Hiroshima University - Department of Mathematics

Subject

Geometry and Topology,Algebra and Number Theory,Analysis

Reference10 articles.

1. C. Capone, D. Cruz-Uribe, SFO and A. Fiorenza, The fractional maximal operator and fractional integrals on variable $L^p$ spaces, Rev. Mat. Iberoamericana 23 (2007), 743--770.

2. D. Cruz-Uribe, A. Fiorenza and C. J. Neugebauer, The maximal function on variable $L^p$ spaces, Ann. Acad. Sci. Fenn. Math. 28 (2003), 223--238, and 29 (2004), 247--249.

3. L. Diening, Riesz potential and Sobolev embeddings on generalized Lebesgue and Sobolev spaces $L^p(\, \cdot \, )$ and $W^k, p(\, \cdot \, )$, Math. Nachr. 268 (2004), 31--43.

4. L. Diening, Maximal functions on Musielak-Orlicz spaces and generalized Lebesgue spaces, Bull. Sci. Math. 129 (2005), 657--700.

5. M. Izuki, Herz and amalgam spaces with variable exponent, the Haar wavelets and greediness of the wavelet system, East J. Approx. 15 (2009), 87--109.

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