Lp - Lq estimates for homogeneous operators

Norisuke Ioku; Giorgio Metafune; Motohiro Sobajima; Chiara Spina

doi:10.1142/S0219199715500376

L^p - L^q estimates for homogeneous operators

Norisuke Ioku, Giorgio Metafune, Motohiro Sobajima, Chiara Spina

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

We prove precise Lp-Lq estimates for the semigroup generated by L = |x|^αδ + c|x|^α-1 x/|x|.δ- b|x|^α-2 in L^p(ℝN).

Original language	English
Article number	1550037
Journal	Communications in Contemporary Mathematics
Volume	18
Issue number	3
DOIs	https://doi.org/10.1142/S0219199715500376
Publication status	Published - 2016 Jun 1
Externally published	Yes

Keywords

Analytic semigroups
Elliptic operators
Generation results
Unbounded coefficients

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

Access to Document

10.1142/S0219199715500376

Cite this

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title = "Lp - Lq estimates for homogeneous operators",

abstract = "We prove precise Lp-Lq estimates for the semigroup generated by L = |x|αδ + c|x|α-1 x/|x|.δ- b|x|α-2 in Lp(ℝN).",

keywords = "Analytic semigroups, Elliptic operators, Generation results, Unbounded coefficients",

author = "Norisuke Ioku and Giorgio Metafune and Motohiro Sobajima and Chiara Spina",

note = "Publisher Copyright: {\textcopyright} 2016 World Scientific Publishing Company.",

year = "2016",

month = jun,

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doi = "10.1142/S0219199715500376",

language = "English",

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journal = "Communications in Contemporary Mathematics",

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T1 - Lp - Lq estimates for homogeneous operators

AU - Ioku, Norisuke

AU - Metafune, Giorgio

AU - Sobajima, Motohiro

AU - Spina, Chiara

PY - 2016/6/1

Y1 - 2016/6/1

N2 - We prove precise Lp-Lq estimates for the semigroup generated by L = |x|αδ + c|x|α-1 x/|x|.δ- b|x|α-2 in Lp(ℝN).

AB - We prove precise Lp-Lq estimates for the semigroup generated by L = |x|αδ + c|x|α-1 x/|x|.δ- b|x|α-2 in Lp(ℝN).

KW - Analytic semigroups

KW - Elliptic operators

KW - Generation results

KW - Unbounded coefficients

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U2 - 10.1142/S0219199715500376

DO - 10.1142/S0219199715500376

M3 - Article

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VL - 18

JO - Communications in Contemporary Mathematics

JF - Communications in Contemporary Mathematics

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