Norm convolution inequalities in lebesgue spaces

Erlan Nursultanov; Sergey Tikhonov; Nazerke Tleukhanova

doi:10.4171/rmi/1004

Norm convolution inequalities in lebesgue spaces

Erlan Nursultanov, Sergey Tikhonov, Nazerke Tleukhanova

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

4 Citations (Scopus)

Abstract

© European Mathematical Society. We obtain upper and similar lower estimates of the (Lp,Lq) norm for the convolution operator. The upper estimate improves on known convolution inequalities. The technique to obtain lower estimates is applied to study boundedness problems for oscillatory integrals.

Original language	English
Pages (from-to)	811-838
Journal	Revista Matematica Iberoamericana
Volume	34
Issue number	2
DOIs	https://doi.org/10.4171/rmi/1004
Publication status	Published - 1 Jan 2018

Keywords

Convolution
Oscillatory kernels
Young–O’Neil inequality

Access to Document

10.4171/rmi/1004

Cite this

@article{bcb5fbd0ec5946528799c7298ba52faf,

title = "Norm convolution inequalities in lebesgue spaces",

abstract = "{\textcopyright} European Mathematical Society. We obtain upper and similar lower estimates of the (Lp,Lq) norm for the convolution operator. The upper estimate improves on known convolution inequalities. The technique to obtain lower estimates is applied to study boundedness problems for oscillatory integrals.",

keywords = "Convolution, Oscillatory kernels, Young–O{\textquoteright}Neil inequality",

author = "Erlan Nursultanov and Sergey Tikhonov and Nazerke Tleukhanova",

year = "2018",

month = jan,

day = "1",

doi = "10.4171/rmi/1004",

language = "English",

volume = "34",

pages = "811--838",

journal = "Revista Matematica Iberoamericana",

issn = "0213-2230",

number = "2",

}

TY - JOUR

T1 - Norm convolution inequalities in lebesgue spaces

AU - Nursultanov, Erlan

AU - Tikhonov, Sergey

AU - Tleukhanova, Nazerke

PY - 2018/1/1

Y1 - 2018/1/1

N2 - © European Mathematical Society. We obtain upper and similar lower estimates of the (Lp,Lq) norm for the convolution operator. The upper estimate improves on known convolution inequalities. The technique to obtain lower estimates is applied to study boundedness problems for oscillatory integrals.

AB - © European Mathematical Society. We obtain upper and similar lower estimates of the (Lp,Lq) norm for the convolution operator. The upper estimate improves on known convolution inequalities. The technique to obtain lower estimates is applied to study boundedness problems for oscillatory integrals.

KW - Convolution

KW - Oscillatory kernels

KW - Young–O’Neil inequality

U2 - 10.4171/rmi/1004

DO - 10.4171/rmi/1004

M3 - Article

SN - 0213-2230

VL - 34

SP - 811

EP - 838

JO - Revista Matematica Iberoamericana

JF - Revista Matematica Iberoamericana

IS - 2

ER -

Norm convolution inequalities in lebesgue spaces

Abstract

Keywords

Access to Document

Fingerprint

Cite this