Strongly singular integrals along curves on α-modulation spaces

In this paper, we study the strongly singular integrals [Formula: see text] along homogeneous curves [Formula: see text] . We prove that [Formula: see text] is bounded on the α-modulation spaces, including the inhomogeneous Besov spaces and the classical modulation spaces.

Detalles Bibliográficos
Autores principales: Wu, Xiaomei, Yu, Xiao
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5550552/
https://www.ncbi.nlm.nih.gov/pubmed/28845094
http://dx.doi.org/10.1186/s13660-017-1458-0
_version_ 1783256154363658240
author Wu, Xiaomei
Yu, Xiao
author_facet Wu, Xiaomei
Yu, Xiao
author_sort Wu, Xiaomei
collection PubMed
description In this paper, we study the strongly singular integrals [Formula: see text] along homogeneous curves [Formula: see text] . We prove that [Formula: see text] is bounded on the α-modulation spaces, including the inhomogeneous Besov spaces and the classical modulation spaces.
format Online
Article
Text
id pubmed-5550552
institution National Center for Biotechnology Information
language English
publishDate 2017
publisher Springer International Publishing
record_format MEDLINE/PubMed
spelling pubmed-55505522017-08-25 Strongly singular integrals along curves on α-modulation spaces Wu, Xiaomei Yu, Xiao J Inequal Appl Research In this paper, we study the strongly singular integrals [Formula: see text] along homogeneous curves [Formula: see text] . We prove that [Formula: see text] is bounded on the α-modulation spaces, including the inhomogeneous Besov spaces and the classical modulation spaces. Springer International Publishing 2017-08-09 2017 /pmc/articles/PMC5550552/ /pubmed/28845094 http://dx.doi.org/10.1186/s13660-017-1458-0 Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Wu, Xiaomei
Yu, Xiao
Strongly singular integrals along curves on α-modulation spaces
title Strongly singular integrals along curves on α-modulation spaces
title_full Strongly singular integrals along curves on α-modulation spaces
title_fullStr Strongly singular integrals along curves on α-modulation spaces
title_full_unstemmed Strongly singular integrals along curves on α-modulation spaces
title_short Strongly singular integrals along curves on α-modulation spaces
title_sort strongly singular integrals along curves on α-modulation spaces
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5550552/
https://www.ncbi.nlm.nih.gov/pubmed/28845094
http://dx.doi.org/10.1186/s13660-017-1458-0
work_keys_str_mv AT wuxiaomei stronglysingularintegralsalongcurvesonamodulationspaces
AT yuxiao stronglysingularintegralsalongcurvesonamodulationspaces

Ejemplares similares