On variable exponent Amalgam spaces

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Tarih

2012

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Yayıncı

Analele Stiintifice ale Universitatii Ovidius Constanta

Erişim Hakkı

Özet

We derive some of the basic properties of weighted variable exponent Lebesgue spaces Lp(:)w (Rn) and investigate embeddings of these spaces under some conditions. Also a new family of Wiener amalgam spaces W(Lp(:) w ;Lq ) is defined, where the local component is a weighted variable exponent Lebesgue space Lp(:) (Rn) and the global component is a weighted Lebesgue space Lq (Rn) : We investigate the properties of the spaces W(Lp(:) w ;Lq ): We also present new Hölder-type inequalities and embeddings for these spaces.

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Anahtar Kelimeler

Variable exponent Lebesgue spaces, Amalgam spaces, Embedding, Fourier transform

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Künye

Aydın, İ., "On variable exponent Amalgam spaces". Analele Stiintifice ale Universitatii Ovidius Constanta. Vol. 20(3), 2012, 5-20.