2021
DOI: 10.1007/s13348-021-00337-2
|View full text |Cite
|
Sign up to set email alerts
|

The inhomogeneous Cauchy-Riemann equation for weighted smooth vector-valued functions on strips with holes

Abstract: This paper is dedicated to the question of surjectivity of the Cauchy-Riemann operator $$\overline{\partial }$$ ∂ ¯ on spaces $${\mathcal {E}}{\mathcal {V}}(\varOmega ,E)$$ E V ( Ω , E ) of $${\mathcal {C}}^{\infty }$$ … Show more

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1

Citation Types

0
3
0

Year Published

2021
2021
2022
2022

Publication Types

Select...
2
2

Relationship

3
1

Authors

Journals

citations
Cited by 4 publications
(3 citation statements)
references
References 26 publications
(18 reference statements)
0
3
0
Order By: Relevance
“…Let E be a sequentially complete C-lcHs, K := [0, ∞] or K := {∞} and equip bv K (E) with its usual quotient topology, which is Hausdorff locally convex by [37,Remark 14,p 22]. By [38,Theorem 7.2 (ii), p. 106] the Laplace transform…”
Section: Notation and Preliminariesmentioning
confidence: 99%
“…Let E be a sequentially complete C-lcHs, K := [0, ∞] or K := {∞} and equip bv K (E) with its usual quotient topology, which is Hausdorff locally convex by [37,Remark 14,p 22]. By [38,Theorem 7.2 (ii), p. 106] the Laplace transform…”
Section: Notation and Preliminariesmentioning
confidence: 99%
“…Let E be a sequentially complete C-lcHs, K ∶= [0, ∞] or K ∶= {∞} and equip bv K (E) with its usual quotient topology, which is Hausdorff locally convex by [37,Remark 14,p 22]. By [38,Theorem 7.2 (ii), p. 41] the Laplace transform…”
Section: Notation and Preliminariesmentioning
confidence: 99%
“…Ω n ∶= {z ∈ C Im(z) < n}. The case that this sequence has holes along the real axis is treated in [47].…”
Section: Introductionmentioning
confidence: 99%