ON BOUNDED OPERATORS IN $L^p$ SPACES

A.I. Petrosyan; A.F. Beknazaryan

doi:10.46991/PYSU:A/2011.45.2.011

ON BOUNDED OPERATORS IN $L^p$ SPACES

Authors

A.I. Petrosyan Chair of Mathematical Analysis and Functions Theory, YSU, Armenia
A.F. Beknazaryan Chair of Mathematical Analysis and Functions Theory, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2011.45.2.011

Keywords:

Banach space, analytic function, bounded operator

Abstract

In the present paper the linear operators that depend on a normal pair of weight functions $\{\varphi, \psi,\}$ in the Banach spaces $L^p(D)$, where $D$ is the unit disk in the complex plane, are considered. It is investigated, for which values of p these operators are bounded.

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Published

2011-04-28

How to Cite

Petrosyan, A., & Beknazaryan, A. (2011). ON BOUNDED OPERATORS IN $L^p$ SPACES. Proceedings of the YSU A: Physical and Mathematical Sciences, 45(2 (225), 11–16. https://doi.org/10.46991/PYSU:A/2011.45.2.011