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Oscillatory integrals with variable Calderon-Zygmund kernel on vanishing generalized Morrey spaces  
Yazarlar (3)
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Dumlupinar University, Türkiye
A. Ahmadli
Dumlupinar University, Türkiye
S. E. Ekincioglu
Dumlupinar University, Türkiye
Devamını Göster
Özet
In this paper, the authors investigate the boundedness of the oscillatory singular integrals with variable CalderOn-Zygmund kernel on generalized Morrey spaces M-p,M-phi(R-n) and the vanishing generalized Morrey spaces VMp,phi(R-n). When 1 < p < infinity and (phi(1), phi(2)) satisfies some conditions, we show that the oscillatory singular integral operators T-lambda and T-lambda* are bounded from M-p,M-phi 1(R-n) to M-p,M-phi 2(R-n) and from VM(p,phi)1(R-n) to VMp,phi 2(R-n). Meanwhile, the corresponding result for the oscillatory singular integrals with standard CalderOn-Zygmund kernel are established.
Anahtar Kelimeler
vanishing generalized Morrey space | oscillatory integral | variable Calderon-Zygmund kernels
Makale Türü Özgün Makale
Makale Alt Türü ESCI dergilerinde yayınlanan tam makale
Dergi Adı TBILISI MATHEMATICAL JOURNAL
Dergi ISSN 1875-158X Wos Dergi
Makale Dili İngilizce
Basım Tarihi 01-2020
Cilt No 13
Sayı 1
Sayfalar 69 / 82
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
WoS 1

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