Abstract
Suppose that AmLp(D,α) is the space of all m-analytic functions on the disk D={z:|z| -1. In the paper, we introduce subspaces AkLp0(D,α), k=1,2,...,m, of the space AmLp(D,α) and prove that AmLp(D,α) is the direct sum of these subspaces. These results are used to obtain growth estimates of derivatives of polyanalytic functions near the boundary of arbitrary domains.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
