On Generalizations of Fatou’s Theorem in Lp for Convolution Integrals with General Kernels

M. H. Safaryan

doi:10.1007/s12220-020-00397-z

On Generalizations of Fatou’s Theorem in Lp for Convolution Integrals with General Kernels

M. H. Safaryan

King Abdullah University of Science and Technology

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

2 Scopus citations

Abstract

We prove Fatou-type theorem on almost everywhere convergence of convolution integrals in spaces Lp(1

Original language	English (US)
Journal	Journal of Geometric Analysis
DOIs	https://doi.org/10.1007/s12220-020-00397-z
State	Published - Mar 30 2020

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: The author thanks Prof. Grigori Karagulyan for valuable discussions on the topic and the reviewer for constructive feedback and useful comments.

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10.1007/s12220-020-00397-z

https://repository.kaust.edu.sa/bitstream/10754/662556/1/GeneralFatouLp.pdf

Cite this

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title = "On Generalizations of Fatou{\textquoteright}s Theorem in Lp for Convolution Integrals with General Kernels",

abstract = "We prove Fatou-type theorem on almost everywhere convergence of convolution integrals in spaces Lp(1",

author = "Safaryan, {M. H.}",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: The author thanks Prof. Grigori Karagulyan for valuable discussions on the topic and the reviewer for constructive feedback and useful comments.",

year = "2020",

month = mar,

day = "30",

doi = "10.1007/s12220-020-00397-z",

language = "English (US)",

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AU - Safaryan, M. H.

N1 - KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: The author thanks Prof. Grigori Karagulyan for valuable discussions on the topic and the reviewer for constructive feedback and useful comments.

PY - 2020/3/30

Y1 - 2020/3/30

N2 - We prove Fatou-type theorem on almost everywhere convergence of convolution integrals in spaces Lp(1

AB - We prove Fatou-type theorem on almost everywhere convergence of convolution integrals in spaces Lp(1

UR - http://hdl.handle.net/10754/662556

UR - http://link.springer.com/10.1007/s12220-020-00397-z

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U2 - 10.1007/s12220-020-00397-z

DO - 10.1007/s12220-020-00397-z

M3 - Article

SN - 1050-6926

JO - Journal of Geometric Analysis

JF - Journal of Geometric Analysis

ER -

On Generalizations of Fatou’s Theorem in Lp for Convolution Integrals with General Kernels

Abstract

Bibliographical note

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