Sharp bounds for multiplier operators of negative indices associated with degenerate curves

Sanghyuk Lee; Ihyeok Seo

doi:10.1007/s00209-009-0620-x

Sharp bounds for multiplier operators of negative indices associated with degenerate curves

Sanghyuk Lee
, Ihyeok Seo

Seoul National University

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

10 Scopus citations

Abstract

In this note we show the sharp L^p-L^q boundedness of multiplier operators of Bochner-Riesz type having negative indices of which singularity is located in degenerate curve in ℝ². L^p-L^q boundedness of their maximal operators is also obtained.

Original language	English
Pages (from-to)	291-323
Number of pages	33
Journal	Mathematische Zeitschrift
Volume	267
Issue number	1
DOIs	https://doi.org/10.1007/s00209-009-0620-x
State	Published - Feb 2011
Externally published	Yes

Keywords

Multiplier
Negative index

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title = "Sharp bounds for multiplier operators of negative indices associated with degenerate curves",

abstract = "In this note we show the sharp Lp-Lq boundedness of multiplier operators of Bochner-Riesz type having negative indices of which singularity is located in degenerate curve in ℝ2. Lp-Lq boundedness of their maximal operators is also obtained.",

keywords = "Multiplier, Negative index",

author = "Sanghyuk Lee and Ihyeok Seo",

year = "2011",

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doi = "10.1007/s00209-009-0620-x",

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AU - Seo, Ihyeok

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AB - In this note we show the sharp Lp-Lq boundedness of multiplier operators of Bochner-Riesz type having negative indices of which singularity is located in degenerate curve in ℝ2. Lp-Lq boundedness of their maximal operators is also obtained.

KW - Multiplier

KW - Negative index

UR - https://www.scopus.com/pages/publications/79551578467

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DO - 10.1007/s00209-009-0620-x

M3 - Article

AN - SCOPUS:79551578467

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SP - 291

EP - 323

JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

IS - 1

ER -

Sharp bounds for multiplier operators of negative indices associated with degenerate curves

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Keywords

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