Lp decay estimates for weighted oscillatory integral operators on ℝ

Malabika Pramanik; Chan Woo Yang

doi:10.4171/RMI/446

L^p decay estimates for weighted oscillatory integral operators on ℝ

Malabika Pramanik^*
, Chan Woo Yang

^*Corresponding author for this work

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

4 Citations (Scopus)

Abstract

In this paper, we formulate necessary conditions for decay rates of If operator norms of weighted oscillatory integral operators on ℝ and give sharp L² estimates and nearly sharp L^p estimates.

Original language	English
Pages (from-to)	1071-1095
Number of pages	25
Journal	Revista Matematica Iberoamericana
Volume	21
Issue number	3
DOIs	https://doi.org/10.4171/RMI/446
Publication status	Published - 2005

Keywords

Decay rate
Oscillatory integral operators
Weight

ASJC Scopus subject areas

General Mathematics

Access to Document

10.4171/RMI/446

Cite this

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title = "Lp decay estimates for weighted oscillatory integral operators on ℝ",

abstract = "In this paper, we formulate necessary conditions for decay rates of If operator norms of weighted oscillatory integral operators on ℝ and give sharp L2 estimates and nearly sharp Lp estimates.",

keywords = "Decay rate, Oscillatory integral operators, Weight",

author = "Malabika Pramanik and Yang, \{Chan Woo\}",

year = "2005",

doi = "10.4171/RMI/446",

language = "English",

volume = "21",

pages = "1071--1095",

journal = "Revista Matematica Iberoamericana",

issn = "0213-2230",

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T1 - Lp decay estimates for weighted oscillatory integral operators on ℝ

AU - Pramanik, Malabika

AU - Yang, Chan Woo

PY - 2005

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N2 - In this paper, we formulate necessary conditions for decay rates of If operator norms of weighted oscillatory integral operators on ℝ and give sharp L2 estimates and nearly sharp Lp estimates.

AB - In this paper, we formulate necessary conditions for decay rates of If operator norms of weighted oscillatory integral operators on ℝ and give sharp L2 estimates and nearly sharp Lp estimates.

KW - Decay rate

KW - Oscillatory integral operators

KW - Weight

UR - https://www.scopus.com/pages/publications/33646337964

U2 - 10.4171/RMI/446

DO - 10.4171/RMI/446

M3 - Article

AN - SCOPUS:33646337964

SN - 0213-2230

VL - 21

SP - 1071

EP - 1095

JO - Revista Matematica Iberoamericana

JF - Revista Matematica Iberoamericana

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ER -