Estimate of the Norm of a Polyanalytic Function via the Norm of Its Polyharmonic Component
Matematičeskie zametki, Tome 75 (2004) no. 4, pp. 608-613
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We obtain an estimate of the norm of a polyanalytic function belonging to the space $L_p(D,\alpha)$, $1\le p\infty$, $\alpha>-1$, via the norm of its polyharmonic component.
@article{MZM_2004_75_4_a9,
author = {A. K. Ramazanov},
title = {Estimate of the {Norm} of a {Polyanalytic} {Function} via the {Norm} of {Its} {Polyharmonic} {Component}},
journal = {Matemati\v{c}eskie zametki},
pages = {608--613},
publisher = {mathdoc},
volume = {75},
number = {4},
year = {2004},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2004_75_4_a9/}
}
TY - JOUR AU - A. K. Ramazanov TI - Estimate of the Norm of a Polyanalytic Function via the Norm of Its Polyharmonic Component JO - Matematičeskie zametki PY - 2004 SP - 608 EP - 613 VL - 75 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2004_75_4_a9/ LA - ru ID - MZM_2004_75_4_a9 ER -
A. K. Ramazanov. Estimate of the Norm of a Polyanalytic Function via the Norm of Its Polyharmonic Component. Matematičeskie zametki, Tome 75 (2004) no. 4, pp. 608-613. http://geodesic.mathdoc.fr/item/MZM_2004_75_4_a9/