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A Note of the Interpolating Sequence in Qp∩H∞.
- Source :
- Wuhan University Journal of Natural Sciences; Feb2024, Vol. 29 Issue 1, p1-6, 6p
- Publication Year :
- 2024
-
Abstract
- In this paper, {z<subscript>n</subscript>}<subscript>n=1</subscript><superscript>∞</superscript> acts as an interpolating sequence for Q<subscript>p</subscript>⋂H<superscript>∞</superscript>. An analytic function f is constructed, and f(z<subscript>n</subscript>)=∑<subscript>j</subscript>λ<subscript>j</subscript>f<subscript>zj</subscript>(z<subscript>n</subscript>)=λ<subscript>n</subscript>,n=1,2,⋯ for any {λ<subscript>n</subscript>}∈l<superscript>∞</superscript>, where f and f<subscript>zj</subscript> belong to Q<subscript>p</subscript>⋂H<superscript>∞</superscript>. As a result, the study achieves a comparable outcome for Fp,p-2,s⋂H<superscript>∞</superscript>. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10071202
- Volume :
- 29
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Wuhan University Journal of Natural Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 177017640
- Full Text :
- https://doi.org/10.1051/wujns/2024291001