Variable exponent Lebesgue Spaces close to $L^{\infty}$

Author: Nikoloz Devdariani
Keywords: Banach Function Space, Marcinkiewicz Space, Orlicz Space
Annotation:

This piece of work is a research-type paper. It discusses variable exponent Lebesgue spaces, in which the space of continuous functions is a closed subspace. The paper explores necessary and sufficient conditions for the exponent, such that in the corresponding variable exponent Lebesgue space, the space of continuous functions remains a closed subspace. The results discussed in this paper represent a multi-variable analogue of the result established for a single variable.

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საბაკალავრო ნაშრომი, ცვლადმაჩვენებლიანი ლებეგიის სივრცეები. [ka]