Oscillatory integrals with variable Calderon-Zygmund kernel on vanishing generalized Morrey spaces
 
Yazarlar (3)
Prof. Dr. Vagıf GULIYEV Dumlupinar University, Türkiye
A. Ahmadli
Dumlupinar University, Türkiye
S. E. Ekincioglu Dumlupinar University, Türkiye
Makale Türü Özgün Makale (ESCI dergilerinde yayınlanan tam makale)
Dergi Adı TBILISI MATHEMATICAL JOURNAL
Dergi ISSN 1875-158X Wos Dergi
Makale Dili İngilizce Basım Tarihi 01-2020
Cilt / Sayı / Sayfa 13 / 1 / 69–82 DOI 10.32513/tbilisi/1585015221.short
Makale Linki https://projecteuclid.org/journals/tbilisi-mathematical-journal/volume-13/issue-1/Oscillatory-integrals-with-variable-Calder%C3%B3n-Zygmund-kernel-on-vanishing-generalized/10.32513/tbilisi/1585015221.short
Özet
In this paper, the authors investigate the boundedness of the oscillatory singular integrals with variable Calderón-Zygmund kernel on generalized Morrey spaces and the vanishing generalized Morrey spaces . When and satisfies some conditions, we show that the oscillatory singular integral operators and are bounded from to and from to . Meanwhile, the corresponding result for the oscillatory singular integrals with standard Calderón-Zygmund kernel are established.
Anahtar Kelimeler
vanishing generalized Morrey space | oscillatory integral | variable Calderon-Zygmund kernels