Bergman spaces of temperature functions on a cylinder

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Abstract

We define the weighted Bergman space bβp (ST) consisting of temperature functions on the cylinder ST=S1x (0,T) and belonging to Lp (ΩT,tβdxdt), where ΩT= (0,2)x (0,T). For β>-1 we construct a family of bounded projections of Lp (ΩT,tβdxdt) onto bβp (ST). We use this to get, for 1<p<∞ and 1/p+ 1/ p′=1, a duality bβp (ST)□=bβ′p′ (ST), where β′ depends on p and β. Copyright © 2003 Hindawi Publishing Corporation. All rights reserved.
Original languageAmerican English
Pages (from-to)1193-1213
Number of pages21
JournalInternational Journal of Mathematics and Mathematical Sciences
DOIs
StatePublished - 1 Dec 2003

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Weighted Bergman Space
Bergman Space
Duality
Projection
Family

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@article{692e86410a1042778b16c8d2e971bfff,
title = "Bergman spaces of temperature functions on a cylinder",
abstract = "We define the weighted Bergman space bβp (ST) consisting of temperature functions on the cylinder ST=S1x (0,T) and belonging to Lp (ΩT,tβdxdt), where ΩT= (0,2)x (0,T). For β>-1 we construct a family of bounded projections of Lp (ΩT,tβdxdt) onto bβp (ST). We use this to get, for 1<p<∞ and 1/p+ 1/ p′=1, a duality bβp (ST)□=bβ′p′ (ST), where β′ depends on p and β. Copyright {\circledC} 2003 Hindawi Publishing Corporation. All rights reserved.",
author = "Marcos L{\'o}pez-Garc{\'i}a",
year = "2003",
month = "12",
day = "1",
doi = "10.1155/S0161171203204178",
language = "American English",
pages = "1193--1213",
journal = "International Journal of Mathematics and Mathematical Sciences",
issn = "0161-1712",
publisher = "Hindawi Publishing Corporation",

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Bergman spaces of temperature functions on a cylinder. / López-García, Marcos.

In: International Journal of Mathematics and Mathematical Sciences, 01.12.2003, p. 1193-1213.

Research output: Contribution to journalArticleResearchpeer-review

TY - JOUR

T1 - Bergman spaces of temperature functions on a cylinder

AU - López-García, Marcos

PY - 2003/12/1

Y1 - 2003/12/1

N2 - We define the weighted Bergman space bβp (ST) consisting of temperature functions on the cylinder ST=S1x (0,T) and belonging to Lp (ΩT,tβdxdt), where ΩT= (0,2)x (0,T). For β>-1 we construct a family of bounded projections of Lp (ΩT,tβdxdt) onto bβp (ST). We use this to get, for 1<p<∞ and 1/p+ 1/ p′=1, a duality bβp (ST)□=bβ′p′ (ST), where β′ depends on p and β. Copyright © 2003 Hindawi Publishing Corporation. All rights reserved.

AB - We define the weighted Bergman space bβp (ST) consisting of temperature functions on the cylinder ST=S1x (0,T) and belonging to Lp (ΩT,tβdxdt), where ΩT= (0,2)x (0,T). For β>-1 we construct a family of bounded projections of Lp (ΩT,tβdxdt) onto bβp (ST). We use this to get, for 1<p<∞ and 1/p+ 1/ p′=1, a duality bβp (ST)□=bβ′p′ (ST), where β′ depends on p and β. Copyright © 2003 Hindawi Publishing Corporation. All rights reserved.

U2 - 10.1155/S0161171203204178

DO - 10.1155/S0161171203204178

M3 - Article

SP - 1193

EP - 1213

JO - International Journal of Mathematics and Mathematical Sciences

JF - International Journal of Mathematics and Mathematical Sciences

SN - 0161-1712

ER -