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Some properties of the anisotropic Riesz-Bessel potential  
Yazarlar (1)
VS Guliev
Devamını Göster
Özet
The Hardy-Littlewood-Bessel maximal functions (B-maximal functions), Morrey-Bessel and BMO-Bessel spaces were introduced and studied in [6]. In the present paper, we study the anisotropic Riesz-Bessel potential (B-potential) in the Morrey-Bessel and BMO-Bessel spaces. We obtain a theorem analogous to the Sobolev theorem, for the anisotropic Riesz-Bessel potential in Morrey-Bessel spaces. We introduce a metric characteristic Ω p,γ in the space of locally integrable functions and establish estimates connecting the characteristics of the image and preimage of the corresponding integral transform. These estimates are of independent interest. Moreover, they are used for the investigation of integral operators in different scales of Banach function spaces, in particular, in weighted L p γ-spaces. The results seem to be new even in the isotropic case.
Anahtar Kelimeler
Makale Türü Özgün Makale
Makale Alt Türü Uluslararası alan indekslerindeki dergilerde yayımlanan tam makale
Dergi Adı Analysis Mathematica
Dergi Tarandığı Indeksler
Makale Dili İngilizce
Basım Tarihi 06-2000
Cilt No 26
Sayı 2
Sayfalar 99 / 118
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
Google Scholar 56

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