On Variable Exponent Amalgam Spaces
نویسنده
چکیده
We derive some of the basic properties of weighted variable exponent Lebesgue spaces L p(.) w (R) and investigate embeddings of these spaces under some conditions. Also a new family of Wiener amalgam spaces W (L p(.) w , L q υ) is defined, where the local component is a weighted variable exponent Lebesgue space L p(.) w (R) and the global component is a weighted Lebesgue space Lυ (R) . We investigate the properties of the spaces W (L p(.) w , L q υ). We also present new Hölder-type inequalities and embeddings for these spaces.
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