B−maximal operators, B−singular integral operators and B−Riesz potentials in variable exponent Lorentz spaces

AYKOL KOCAKUŞAKLI, CANAY; KAYA, ESRA

doi:10.2298/fil2317765a

B−maximal operators, B−singular integral operators and B−Riesz potentials in variable exponent Lorentz spaces

AYKOL KOCAKUŞAKLI C., KAYA E.

Filomat, cilt.37, sa.17, ss.5765-5774, 2023 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 37 Sayı: 17
Basım Tarihi: 2023
Doi Numarası: 10.2298/fil2317765a
Dergi Adı: Filomat
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
Sayfa Sayıları: ss.5765-5774
Anahtar Kelimeler: B−maximal operator, B−Riesz potential, B−singular operator, Variable exponent Lorentz space, γ−rearrangement
Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we prove the boundedness of B−maximal operator, B−singular integral operator and B−Riesz potential in the variable exponent Lorentz space (formula presented) As a consequence of the k,+ boundedness of B−Riesz potentials in variable exponent Lorentz spaces, we also obtain that B−fractional maximal operators are bounded in (formula presented).