BOUNDED PROJECTORS ON $L^p$ SPACES IN THE UNIT BALL

A.I. Petrosyan; N.T. Gapoyan

doi:10.46991/PYSU:A/2013.47.1.017

BOUNDED PROJECTORS ON $L^p$ SPACES IN THE UNIT BALL

Authors

A.I. Petrosyan Chair of General Mathematics, YSU, Armenia
N.T. Gapoyan Chair of General Mathematics, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2013.47.1.017

Keywords:

Banach space, holomorphic function, normal pair, bounded projector

Abstract

The paper studies the linear operators depending on normal pair of weight functions $\{\varphi, \psi\}$ in the Banach spaces $L^p(B_n)$. Here $B$ is the unit ball in the complex space $\mathbb C^n$. In particular, we study the question: for which values of $p$ these operators are bounded projectors.

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Published

2013-04-10

How to Cite

Petrosyan, A., & Gapoyan, N. (2013). BOUNDED PROJECTORS ON $L^p$ SPACES IN THE UNIT BALL. Proceedings of the YSU A: Physical and Mathematical Sciences, 47(1 (230), 17–23. https://doi.org/10.46991/PYSU:A/2013.47.1.017