Essential norms of weighted composition operators between Hardy spaces H p and H q for 1 ≤ p,q ≤ ∞

R. Demazeux

Studia Mathematica (2011)

  • Volume: 206, Issue: 3, page 191-209
  • ISSN: 0039-3223

Abstract

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We complete the different cases remaining in the estimation of the essential norm of a weighted composition operator acting between the Hardy spaces H p and H q for 1 ≤ p,q ≤ ∞. In particular we give some estimates for the cases 1 = p ≤ q ≤ ∞ and 1 ≤ q < p ≤ ∞.

How to cite

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R. Demazeux. "Essential norms of weighted composition operators between Hardy spaces $H^{p}$ and $H^{q}$ for 1 ≤ p,q ≤ ∞." Studia Mathematica 206.3 (2011): 191-209. <http://eudml.org/doc/285401>.

@article{R2011,
abstract = {We complete the different cases remaining in the estimation of the essential norm of a weighted composition operator acting between the Hardy spaces $H^\{p\}$ and $H^\{q\}$ for 1 ≤ p,q ≤ ∞. In particular we give some estimates for the cases 1 = p ≤ q ≤ ∞ and 1 ≤ q < p ≤ ∞.},
author = {R. Demazeux},
journal = {Studia Mathematica},
keywords = {weighted composition operator; essential norm; Carleson measure; Hardy space},
language = {eng},
number = {3},
pages = {191-209},
title = {Essential norms of weighted composition operators between Hardy spaces $H^\{p\}$ and $H^\{q\}$ for 1 ≤ p,q ≤ ∞},
url = {http://eudml.org/doc/285401},
volume = {206},
year = {2011},
}

TY - JOUR
AU - R. Demazeux
TI - Essential norms of weighted composition operators between Hardy spaces $H^{p}$ and $H^{q}$ for 1 ≤ p,q ≤ ∞
JO - Studia Mathematica
PY - 2011
VL - 206
IS - 3
SP - 191
EP - 209
AB - We complete the different cases remaining in the estimation of the essential norm of a weighted composition operator acting between the Hardy spaces $H^{p}$ and $H^{q}$ for 1 ≤ p,q ≤ ∞. In particular we give some estimates for the cases 1 = p ≤ q ≤ ∞ and 1 ≤ q < p ≤ ∞.
LA - eng
KW - weighted composition operator; essential norm; Carleson measure; Hardy space
UR - http://eudml.org/doc/285401
ER -

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