On the BMO spaces associated with the Laplace-Bessel differential operator

Bayrakçı Doğan, SİMTEN; Sezer Evcan, SİNEM; Yıldız, Güldane; Kahraman, Recep

doi:10.55730/1300-0098.3309

On the BMO spaces associated with the Laplace-Bessel differential operator

Bayrakçı Doğan S., Sezer Evcan S., Yıldız G., Kahraman R.

TURKISH JOURNAL OF MATHEMATICS, cilt.46, sa.7, ss.2916-2926, 2022 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 46 Sayı: 7
Basım Tarihi: 2022
Doi Numarası: 10.55730/1300-0098.3309
Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
Sayfa Sayıları: ss.2916-2926
Akdeniz Üniversitesi Adresli: Evet

Özet

In this paper, the characteristic properties of the space of functions of bounded mean oscillation called the $B$-$BMO$ associated with the Laplace-Bessel differential operator are obtained. The John-Nirenberg type inequality on the $B$-$BMO$ space and a relation between the $B$-Poisson integral and the $B$-$BMO$ functions are proved.