Sharp Spectral Multipliers for a New Class of Grushin Type Operators

Peng Chen; Adam Sikora

doi:10.1007/s00041-013-9288-z

Sharp Spectral Multipliers for a New Class of Grushin Type Operators

Peng Chen, Adam Sikora^*

^*Corresponding author for this work

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

9 Citations (Scopus)

Abstract

We describe weighted restriction (Plancherel) type estimates and sharp Hebisch-Müller-Stein type spectral multiplier result for a new class of Grushin type operators. We also discuss the optimal exponent for Bochner-Riesz summability in this setting.

Original language	English
Pages (from-to)	1274-1293
Number of pages	20
Journal	Journal of Fourier Analysis and Applications
Volume	19
Issue number	6
DOIs	https://doi.org/10.1007/s00041-013-9288-z
Publication status	Published - Dec 2013

Access to Document

10.1007/s00041-013-9288-z

Cite this

@article{67382ac2e6854ee88578a9763b68974c,

title = "Sharp Spectral Multipliers for a New Class of Grushin Type Operators",

abstract = "We describe weighted restriction (Plancherel) type estimates and sharp Hebisch-M{\"u}ller-Stein type spectral multiplier result for a new class of Grushin type operators. We also discuss the optimal exponent for Bochner-Riesz summability in this setting.",

author = "Peng Chen and Adam Sikora",

year = "2013",

month = dec,

doi = "10.1007/s00041-013-9288-z",

language = "English",

volume = "19",

pages = "1274--1293",

journal = "Journal of Fourier Analysis and Applications",

issn = "1069-5869",

publisher = "Birkhauser Boston",

number = "6",

}

TY - JOUR

T1 - Sharp Spectral Multipliers for a New Class of Grushin Type Operators

AU - Chen, Peng

AU - Sikora, Adam

PY - 2013/12

Y1 - 2013/12

N2 - We describe weighted restriction (Plancherel) type estimates and sharp Hebisch-Müller-Stein type spectral multiplier result for a new class of Grushin type operators. We also discuss the optimal exponent for Bochner-Riesz summability in this setting.

AB - We describe weighted restriction (Plancherel) type estimates and sharp Hebisch-Müller-Stein type spectral multiplier result for a new class of Grushin type operators. We also discuss the optimal exponent for Bochner-Riesz summability in this setting.

UR - http://www.scopus.com/inward/record.url?scp=84888418371&partnerID=8YFLogxK

U2 - 10.1007/s00041-013-9288-z

DO - 10.1007/s00041-013-9288-z

M3 - Article

AN - SCOPUS:84888418371

SN - 1069-5869

VL - 19

SP - 1274

EP - 1293

JO - Journal of Fourier Analysis and Applications

JF - Journal of Fourier Analysis and Applications

IS - 6

ER -

Sharp Spectral Multipliers for a New Class of Grushin Type Operators

Abstract

Access to Document

Other files and links

Fingerprint

Cite this