发布求助
文献互助 智能选刊 最新文献

Journal of Pseudo-Differential Operators and Applications最新文献

筛选
英文 中文
The directional short-time fractional Fourier transform of distributions 分布的定向短时分数傅里叶变换
IF 1.1 3区 数学
Journal of Pseudo-Differential Operators and Applications Pub Date : 2024-08-26 DOI: 10.1007/s11868-024-00637-8
Astrit Ferizi, Katerina Hadzi-Velkova Saneva, Snježana Maksimović
{"title":"The directional short-time fractional Fourier transform of distributions","authors":"Astrit Ferizi, Katerina Hadzi-Velkova Saneva, Snježana Maksimović","doi":"10.1007/s11868-024-00637-8","DOIUrl":"https://doi.org/10.1007/s11868-024-00637-8","url":null,"abstract":"<p>We introduce the directional short-time fractional Fourier transform (DSTFRFT) and prove an extended Parseval’s identity and a reconstruction formula for it. We also investigate the continuity of both the directional short-time fractional Fourier transform and its synthesis operator on the appropriate space of test functions. Using the obtained continuity results, we develop a distributional framework for the DSTFRFT on the space of tempered distributions <span>(mathcal {S}'(mathbb {R}^n))</span>. We end the article with a desingularization formula.</p>","PeriodicalId":48793,"journal":{"name":"Journal of Pseudo-Differential Operators and Applications","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142186060","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Estimates for Hausdorff operator associated with the Opdam–Cherednik transform and its commutator on weighted Morrey–Herz spaces 与加权莫雷-赫兹空间上的奥普丹-切勒尼克变换及其换元相关的豪斯多夫算子的估计值
IF 1.1 3区 数学
Journal of Pseudo-Differential Operators and Applications Pub Date : 2024-08-21 DOI: 10.1007/s11868-024-00625-y
Ngo Thi Hong, Dao Van Duong
{"title":"Estimates for Hausdorff operator associated with the Opdam–Cherednik transform and its commutator on weighted Morrey–Herz spaces","authors":"Ngo Thi Hong, Dao Van Duong","doi":"10.1007/s11868-024-00625-y","DOIUrl":"https://doi.org/10.1007/s11868-024-00625-y","url":null,"abstract":"<p>In this paper, we give necessary and sufficient conditions for the boundedness of Hausdorff operator on power-weighted Morrey–Herz spaces that are associated with the Opdam–Cherednik transform. Moreover, we provide some Lipschitz estimates for its commutator on such spaces.</p>","PeriodicalId":48793,"journal":{"name":"Journal of Pseudo-Differential Operators and Applications","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142186069","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Pseudo-differential operators on local Hardy spaces associated with ball quasi-Banach function spaces 与球准巴拿赫函数空间相关的局部哈代空间上的伪微分算子
IF 1.1 3区 数学
Journal of Pseudo-Differential Operators and Applications Pub Date : 2024-08-05 DOI: 10.1007/s11868-024-00633-y
Xinyu Chen, Jian Tan
{"title":"Pseudo-differential operators on local Hardy spaces associated with ball quasi-Banach function spaces","authors":"Xinyu Chen, Jian Tan","doi":"10.1007/s11868-024-00633-y","DOIUrl":"https://doi.org/10.1007/s11868-024-00633-y","url":null,"abstract":"<p>Let <i>X</i> be a ball quasi-Banach function space on <span>({mathbb {R}}^{n})</span> and <span>(h_{X}({mathbb {R}}^{n}))</span> the local Hardy space associated with <i>X</i>. In this paper, under some reasonable assumptions on both <i>X</i> and another ball quasi-Banach function space <i>Y</i>, we aim to derive the boundedness of pseudo-differential operators with symbols in <span>(S^{-alpha }_{1,delta })</span> from <span>(h_{X}({mathbb {R}}^{n}))</span> to <span>(h_{Y}({mathbb {R}}^{n}))</span> via applying the extrapolation theorem. In order to prove this result, we also establish the infinite and finite atomic decompositions for the weighted local Hardy space <span>(h^{p}_{omega }({mathbb {R}}^{n}))</span> and obtain the mapping property of the above pseudo-differential operators from <span>(h^{p}_{omega ^{p}}({mathbb {R}}^{n}))</span> to <span>(h^{q}_{omega ^{q}}({mathbb {R}}^{n}))</span>. Moreover, the above results have a wide range of generality. For example, they can be applied to the variable Lebesgue space, the Lorentz space, the mixed-norm Lebesgue space, the local generalized Herz space and the mixed Herz space.\u0000</p>","PeriodicalId":48793,"journal":{"name":"Journal of Pseudo-Differential Operators and Applications","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141930000","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Estimates for a certain bilinear Fourier integral operator 某个双线性傅里叶积分算子的估计值
IF 1.1 3区 数学
Journal of Pseudo-Differential Operators and Applications Pub Date : 2024-08-05 DOI: 10.1007/s11868-024-00631-0
Tomoya Kato, Akihiko Miyachi, Naohito Tomita
{"title":"Estimates for a certain bilinear Fourier integral operator","authors":"Tomoya Kato, Akihiko Miyachi, Naohito Tomita","doi":"10.1007/s11868-024-00631-0","DOIUrl":"https://doi.org/10.1007/s11868-024-00631-0","url":null,"abstract":"<p>The boundedness of bilinear Fourier integral operators with certain non-degenerate phase functions is proved, which is a bilinear version of Seeger, Sogge, and Stein’s theorem concerning the <span>(L^p)</span> boundedness of Fourier integral operators. Our result gives an improvement of the result of Rodríguez-López, Rule, and Staubach proved in 2014.</p>","PeriodicalId":48793,"journal":{"name":"Journal of Pseudo-Differential Operators and Applications","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141930075","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Hardy–Sobolev equation with negative power and sign-changing nonlinearity on closed manifolds 封闭流形上具有负幂和符号变化非线性的哈代-索博列夫方程
IF 1.1 3区 数学
Journal of Pseudo-Differential Operators and Applications Pub Date : 2024-07-30 DOI: 10.1007/s11868-024-00630-1
Nanbo Chen, Honghong Liang, Zhihua Huang, Xiaochun Liu
{"title":"Hardy–Sobolev equation with negative power and sign-changing nonlinearity on closed manifolds","authors":"Nanbo Chen, Honghong Liang, Zhihua Huang, Xiaochun Liu","doi":"10.1007/s11868-024-00630-1","DOIUrl":"https://doi.org/10.1007/s11868-024-00630-1","url":null,"abstract":"<p>We study a class of Hardy-Sobolev equations containing both sign-changing and negative power terms on closed Riemannian manifolds. With the help of a modified Nehari manifold method and some variational techniques, the existence and multiplicity of positive weak solutions are established, along with blow-up behavior analysis.</p>","PeriodicalId":48793,"journal":{"name":"Journal of Pseudo-Differential Operators and Applications","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141869308","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On a singular $$p(x,mathbin {cdot })$$ -integro-differential elliptic problem 关于奇异$$p(x,mathbin {cdot })$$-积分微分椭圆问题
IF 1.1 3区 数学
Journal of Pseudo-Differential Operators and Applications Pub Date : 2024-07-30 DOI: 10.1007/s11868-024-00626-x
E. Azroul, N. Kamali, M. Shimi
{"title":"On a singular $$p(x,mathbin {cdot })$$ -integro-differential elliptic problem","authors":"E. Azroul, N. Kamali, M. Shimi","doi":"10.1007/s11868-024-00626-x","DOIUrl":"https://doi.org/10.1007/s11868-024-00626-x","url":null,"abstract":"<p>The present paper aims to establish the existence of at least two weak solutions of a nonlocal singular problem governed by a generalized integro-differential operator with singular kernel in a bounded domain <span>(Omega )</span> of <span>(mathbb {R}^N)</span> with Lipschitz boundary. The main variational tool is based on the Nehari manifold approach and the fibering maps analysis. Moreover, we state and prove two embedding results of the generalized fractional Sobolev spaces into generalized weighted Lebesgue spaces, which serve as pivotal components in our principal proof.</p>","PeriodicalId":48793,"journal":{"name":"Journal of Pseudo-Differential Operators and Applications","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141869305","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Recovering initial population density of fractional pseudo-parabolic problem associated with a nonlinear reaction 恢复与非线性反应相关的分数伪抛物线问题的初始种群密度
IF 1.1 3区 数学
Journal of Pseudo-Differential Operators and Applications Pub Date : 2024-07-30 DOI: 10.1007/s11868-024-00632-z
Triet Le Minh, Tu Tran Quoc, Phong Luu Hong
{"title":"Recovering initial population density of fractional pseudo-parabolic problem associated with a nonlinear reaction","authors":"Triet Le Minh, Tu Tran Quoc, Phong Luu Hong","doi":"10.1007/s11868-024-00632-z","DOIUrl":"https://doi.org/10.1007/s11868-024-00632-z","url":null,"abstract":"<p>In this paper, we consider an inverse problem related to the fractional pseudo-parabolic equation with a nonlinear source term. Our investigation reveals the ill-posedness of the problem according to Hadamard’s definition. We present two improved variations of the optimal filtering method introduced by Seidman (SIAM J Numer Anal 33:162–170, 1996) to establish some optimal estimates under some an <i>a priori</i> assumptions on the regularity of the exact solution. Finally, the effectiveness of our algorithm is demonstrated through numerical examples.</p>","PeriodicalId":48793,"journal":{"name":"Journal of Pseudo-Differential Operators and Applications","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141869304","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The fractional logarithmic Schrödinger operator: properties and functional spaces 分数对数薛定谔算子：性质和函数空间
IF 1.1 3区 数学
Journal of Pseudo-Differential Operators and Applications Pub Date : 2024-07-24 DOI: 10.1007/s11868-024-00620-3
Pierre Aime Feulefack
{"title":"The fractional logarithmic Schrödinger operator: properties and functional spaces","authors":"Pierre Aime Feulefack","doi":"10.1007/s11868-024-00620-3","DOIUrl":"https://doi.org/10.1007/s11868-024-00620-3","url":null,"abstract":"<p>In this note, we deal with the fractional logarithmic Schrödinger operator <span>((I+(-Delta )^s)^{log })</span> and the corresponding energy spaces for variational study. The fractional (relativistic) logarithmic Schrödinger operator is the pseudo-differential operator with logarithmic Fourier symbol, <span>(log (1+|xi |^{2s}))</span>, <span>(s&gt;0)</span>. We first establish the integral representation corresponding to the operator and provide an asymptotics property of the related kernel. We introduce the functional analytic theory allowing to study the operator from a PDE point of view and the associated Dirichlet problems in an open set of <span>({mathbb {R}}^N.)</span> We also establish some variational inequalities, provide the fundamental solution and the asymptotics of the corresponding Green function at zero and at infinity.</p>","PeriodicalId":48793,"journal":{"name":"Journal of Pseudo-Differential Operators and Applications","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141773019","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Sharp reverse fractional Hausdorff inequality on power-weighted Lebesgue spaces 幂加权勒贝格空间上的锐反向分数豪斯多夫不等式
IF 1.1 3区 数学
Journal of Pseudo-Differential Operators and Applications Pub Date : 2024-07-16 DOI: 10.1007/s11868-024-00629-8
Xiaoyu Liu, Mingquan Wei, Pengchao Song, Dunyan Yan
{"title":"Sharp reverse fractional Hausdorff inequality on power-weighted Lebesgue spaces","authors":"Xiaoyu Liu, Mingquan Wei, Pengchao Song, Dunyan Yan","doi":"10.1007/s11868-024-00629-8","DOIUrl":"https://doi.org/10.1007/s11868-024-00629-8","url":null,"abstract":"<p>Our main focus in this paper is to explore the mapping properties for the <i>n</i>-dimensional fractional Hausdorff operator <span>(H_{Phi ,beta })</span> from <span>(L^{p}(mathbb {R}^{n},|x|^{alpha }))</span> to <span>(L^{q}(mathbb {R}^{n},|x|^{gamma }))</span>, where <span>(p,q&lt;1~(p,qne 0))</span>, <span>(alpha ,gamma in mathbb {R})</span>, <span>(0le beta &lt;n)</span> and <span>(Phi )</span> is a nonnegative measurable function on <span>(mathbb {R}^n)</span>. For <span>(p,q&lt;1~(p,qne 0))</span> satisfying some additional assumptions, we give sufficient conditions for the validity of the reverse fractional Hausdorff inequality <span>(left| H_{Phi ,beta }fright| _{L^{q}(mathbb {R}^{n},|x|^{gamma })}ge CVert fVert _{L^{p}(mathbb {R}^{n},|x|^{alpha })})</span> for some positive constant <i>C</i> and all nonnegative functions <span>(fin L^{p}(mathbb {R}^{n},|x|^{alpha }))</span>. For the particular case <span>(0&lt;p=q&lt;1)</span>, we obtain the sharp reverse fractional Hausdorff inequality. As applications, we establish the sharp reverse inequalities for the <i>n</i>-dimensional fractional Hardy operator and its adjoint operator, and also the <i>n</i>-dimensional fractional Hardy–Littlewood–Pólya operator on power-weighted Lebesgue spaces.</p>","PeriodicalId":48793,"journal":{"name":"Journal of Pseudo-Differential Operators and Applications","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141719748","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Clifford-valued linear canonical wave-packet transform and corresponding uncertainty principles 克利福德值线性典型波包变换和相应的不确定性原理
IF 1.1 3区 数学
Journal of Pseudo-Differential Operators and Applications Pub Date : 2024-07-09 DOI: 10.1007/s11868-024-00627-w
Shahbaz Rafiq, M. Younus Bhat
{"title":"Clifford-valued linear canonical wave-packet transform and corresponding uncertainty principles","authors":"Shahbaz Rafiq, M. Younus Bhat","doi":"10.1007/s11868-024-00627-w","DOIUrl":"https://doi.org/10.1007/s11868-024-00627-w","url":null,"abstract":"<p>In an effort to express Clifford-valued signals efficiently in time–frequency domain, we introduce the notion of the novel integral transform known as Clifford-valued linear canonical wave-packet transform (CLCWPT). In the beginning, we derived the fundamental properties of the proposed transform which include linearity, anti-linearity, scaling parity, dilation and Parseval’s formula. Moreover, some important signal analysis results have been established, viz. energy conservation, inversion formula, characterization of range and bounds of clifford valued linear canonical wave-packet transform. We culminate our manuscript by studying corresponding Heisenberg’s uncertainty principle and logarithmic uncertainty principle associated with CLCWPT.</p>","PeriodicalId":48793,"journal":{"name":"Journal of Pseudo-Differential Operators and Applications","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141567826","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信