On the boundedness of B-maximal commutators, commutators of B-Riesz potentials and B-singular integral operators in modified B-Morrey spaces

Aykol Canay and Hasanov Javanshir J.: On the boundedness of B-maximal commutators, commutators of B-Riesz potentials and B-singular integral operators in modified B-Morrey spaces. In: Acta scientiarum mathematicarum, (86) 3-4. pp. 521-547. (2020)

Cikk, tanulmány, mű math_086_numb_003-004_521-547.pdf Restricted to: SZTE network Download (335kB)

Abstract

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

Item Type:	Article
Heading title:	Analysis
Journal or Publication Title:	Acta scientiarum mathematicarum
Date:	2020
Volume:	86
Number:	3-4
ISSN:	2064-8316
Page Range:	pp. 521-547
Language:	English
Related URLs:	http://acta.bibl.u-szeged.hu/73790/
DOI:	10.14232/actasm-020-224-y
Uncontrolled Keywords:	Matematika
Additional Information:	Bibliogr.: p. 544-547. ; összefoglalás angol nyelven
Date Deposited:	2021. Nov. 15. 13:49
Last Modified:	2021. Nov. 15. 13:49
URI:	http://acta.bibl.u-szeged.hu/id/eprint/73902

Actions (login required)

View Item