A note on certain convolution operators

Piotr Nayar; Tomasz Tkocz

doi:10.1007/978-3-319-09477-9__26

A note on certain convolution operators

Piotr Nayar
, Tomasz Tkocz

Institute for Mathematics and its Applications

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

Abstract

In this note we consider a certain class of convolution operators acting on the L_p spaces of the one dimensional torus. We prove that the identity minus such an operator is nicely invertible on the subspace of functions with mean zero.

Original language	English (US)
Pages (from-to)	405-412
Number of pages	8
Journal	Lecture Notes in Mathematics
Volume	2116
DOIs	https://doi.org/10.1007/978-3-319-09477-9__26
State	Published - 2014

Bibliographical note

Publisher Copyright:
© Springer International Publishing Switzerland 2014.

Publisher link

10.1007/978-3-319-09477-9__26

Find It

Find It at U of M Libraries

Cite this

@article{3a1b5da426df49998e6cc5a4ee1f774f,

title = "A note on certain convolution operators",

abstract = "In this note we consider a certain class of convolution operators acting on the Lp spaces of the one dimensional torus. We prove that the identity minus such an operator is nicely invertible on the subspace of functions with mean zero.",

author = "Piotr Nayar and Tomasz Tkocz",

note = "Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2014.",

year = "2014",

doi = "10.1007/978-3-319-09477-9\_\_26",

language = "English (US)",

volume = "2116",

pages = "405--412",

journal = "Lecture Notes in Mathematics",

issn = "0075-8434",

publisher = "Springer Science and Business Media Deutschland GmbH",

}

TY - JOUR

T1 - A note on certain convolution operators

AU - Nayar, Piotr

AU - Tkocz, Tomasz

N1 - Publisher Copyright: © Springer International Publishing Switzerland 2014.

PY - 2014

Y1 - 2014

N2 - In this note we consider a certain class of convolution operators acting on the Lp spaces of the one dimensional torus. We prove that the identity minus such an operator is nicely invertible on the subspace of functions with mean zero.

AB - In this note we consider a certain class of convolution operators acting on the Lp spaces of the one dimensional torus. We prove that the identity minus such an operator is nicely invertible on the subspace of functions with mean zero.

UR - https://www.scopus.com/pages/publications/84921781301

UR - https://www.scopus.com/pages/publications/84921781301#tab=citedBy

U2 - 10.1007/978-3-319-09477-9__26

DO - 10.1007/978-3-319-09477-9__26

M3 - Article

AN - SCOPUS:84921781301

SN - 0075-8434

VL - 2116

SP - 405

EP - 412

JO - Lecture Notes in Mathematics

JF - Lecture Notes in Mathematics

ER -

A note on certain convolution operators

Abstract

Bibliographical note

Publisher link

Find It

Other files and links

Fingerprint

Cite this