Boundedness of vector-valuedB-singular integral operators in Lebesgue spaces

• Autorzy: Seyda Keles , Mehriban N. Omarova
• Języki publikacji: EN

Abstrakty

EN

We study the vector-valued B-singular integral operators associated with the Laplace-Bessel differential operator △B=∑k=1n−1∂ 2∂x k 2+(∂2∂x n 2+2vxn∂∂x n),v>0. $$\triangle_{B}=\sum\limits_{k=1}^{n-1}\frac{\partial^{2}}{\partial x_{k}^{2}}+(\frac{\partial^{2}}{\partial x_{n}^{2}}+\frac{2v}{x_{n}}\frac{\partial}{\partial x_{n}}) , v>0.$$ We prove the boundedness of vector-valued B-singular integral operators A from [...] Lp,v(R+n,H1)toLp,v(R+n,H2), $L_{p,v}(\mathbb{R}_{+}^{n}, H_{1}) \,{\rm to}\, L_{p,v}(\mathbb{R}_{+}^{n}, H_{2}),$ 1 < p < ∞, where H1 and H2 are separable Hilbert spaces.

Słowa kluczowe

EN

Laplace-Bessel differential operator; Generalized shift operator; Vector-valued B-singular integral operators

Kategorie tematyczne

• 46E40: Spaces of vector- and operator-valued functions
• 42B20: Singular and oscillatory integrals (Calder\'on-Zygmund, etc.)
• 44A35: Convolution

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2017
• Tom: 15
• Numer: 1
• Strony: 987-1002

Daty

wydano

2017-01-01

otrzymano

2016-12-30

zaakceptowano

2017-05-08

online

2017-07-21

Twórcy

autor

Seyda Keles

• , , ,

autor

Mehriban N. Omarova

• , , , , ,

Identyfikatory

DOI

10.1515/math-2017-0081