On the boundedness of B-maximal commutators, commutators of B-Riesz potentials and B-singular integral operators in modified B-Morrey spaces
In this paper we consider the generalized shift operator associated to the Laplace–Bessel differential operator ∆B and investigate B-maximal commutators, commutators of B-Riesz potentials and commutators of B-singular integral operators associated to the generalized shift operator. The boundedness o...
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2020
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| Sorozat: | Acta scientiarum mathematicarum
86 No. 3-4 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| doi: | 10.14232/actasm-020-224-y |
| Online Access: | http://acta.bibl.u-szeged.hu/73902 |
| LEADER | 01765nab a2200241 i 4500 | ||
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| 001 | acta73902 | ||
| 005 | 20260218134543.0 | ||
| 008 | 211115s2020 hu o 000 eng d | ||
| 022 | |a 2064-8316 | ||
| 024 | 7 | |a 10.14232/actasm-020-224-y |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Aykol Canay | |
| 245 | 1 | 3 | |a On the boundedness of B-maximal commutators, commutators of B-Riesz potentials and B-singular integral operators in modified B-Morrey spaces |h [elektronikus dokumentum] / |c Aykol Canay |
| 260 | |a Bolyai Institute, University of Szeged |b Szeged |c 2020 | ||
| 300 | |a 521-547 | ||
| 490 | 0 | |a Acta scientiarum mathematicarum |v 86 No. 3-4 | |
| 520 | 3 | |a In this paper we consider the generalized shift operator associated to the Laplace–Bessel differential operator ∆B and investigate B-maximal commutators, commutators of B-Riesz potentials and commutators of B-singular integral operators associated to the generalized shift operator. The boundedness of the B-maximal commutator Mb,γ and the commutator [b, Aγ] of the B-singular integral operator on the modified B-Morrey spaces Lep,λ,γ(R n k,+) for all 1 < p < ∞ when b ∈ BMOγ(R n k,+) are proved. In addition, we obtain that the commutator [b, Iα,γ] of the B-Riesz potential Iα,γ is bounded from the modified B-Morrey space Lep,λ,γ(R n k,+) to Leq,λ,γ(R n k,+), 1 < p < n+|γ|−λ n+|γ| ≤ 1 p − 1 q ≤ n+|γ|−λ and from the space Le1,λ,γ(R n k,+) to WLeq,λ,γ(R n k,+), n+|γ| ≤ 1 − 1 q ≤ n+|γ|−λ | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 695 | |a Matematika | ||
| 700 | 0 | 1 | |a Hasanov Javanshir J. |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/73902/1/math_086_numb_003-004_521-547.pdf |z Dokumentum-elérés |