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Some Results on Variable Exponent Analysis
by
Xianling Fan
Lanzhou Univ.
We present some new results on variable exponent Lebesgue spaces, which include: A variant of the definition of the norm in the variable exponent Lebesgue space; The Amemiya norm equals the Orlicz norm in the variable exponent Lebesgue space; An exact inequality involving the Luxemburg norm and the conjugate-Orlicz norm in the variable exponent Lebesgue space; A complex interpolation theorem of Riesz-Thorin type with the interpolation constant 1 for variable exponent Lebesgue spaces. We also present some results and open problems on the solutions of the p(x)-Laplacian equations.
Date received: May 16, 2005
Copyright © 2005 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caqw-41.