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UNITARY PARTS OF CONTRACTIVE LITTLE HANKEL OPERATORS ON THE BERGMAN SPACE bergman空间上压缩小hankel算子的酉部
IF 0.1 4区 数学
Mathematical Reports Pub Date : 2023-01-01 DOI: 10.59277/mrar.2023.25.75.2.247
N. Das, Satyajit Sahoo
{"title":"UNITARY PARTS OF CONTRACTIVE LITTLE HANKEL OPERATORS ON THE BERGMAN SPACE","authors":"N. Das, Satyajit Sahoo","doi":"10.59277/mrar.2023.25.75.2.247","DOIUrl":"https://doi.org/10.59277/mrar.2023.25.75.2.247","url":null,"abstract":"In this paper, we consider little Hankel operators Γφ defined on the Bergman space L2 a(D) with symbol φ ∈ H∞(D) that are contractions. Necessary and sufficient conditions are obtained for the existence of a nontrivial unitary part of these little Hankel","PeriodicalId":49858,"journal":{"name":"Mathematical Reports","volume":"9 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87743033","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
CORRIGENDUM TO “INTRANSITIVE PERMUTATION GROUPS “不可传递置换群”的勘误
4区 数学
Mathematical Reports Pub Date : 2023-01-01 DOI: 10.59277/mrar.2023.25.75.3.451
MEHDI REZAEI, MEHDI ALAEIYAN, ZEINAB FORUZANFAR
{"title":"CORRIGENDUM TO “INTRANSITIVE PERMUTATION GROUPS","authors":"MEHDI REZAEI, MEHDI ALAEIYAN, ZEINAB FORUZANFAR","doi":"10.59277/mrar.2023.25.75.3.451","DOIUrl":"https://doi.org/10.59277/mrar.2023.25.75.3.451","url":null,"abstract":"In this note, we point out a mistake in part (II) of Theorem 1.1 of [1] and correct it here. In [1], the authors investigated the structure of intransitive permutation groups with bounded movement having maximum degree.","PeriodicalId":49858,"journal":{"name":"Mathematical Reports","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135953230","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
ANALYTICAL AND NUMERICAL SOLUTIONS FOR SOME 一些问题的解析解和数值解
4区 数学
Mathematical Reports Pub Date : 2023-01-01 DOI: 10.59277/mrar.2023.25.75.3.465
ABDUL RAUF, TAHIR MUSHTAQ QURESHI, CONSTANTIN FETECAU
{"title":"ANALYTICAL AND NUMERICAL SOLUTIONS FOR SOME","authors":"ABDUL RAUF, TAHIR MUSHTAQ QURESHI, CONSTANTIN FETECAU","doi":"10.59277/mrar.2023.25.75.3.465","DOIUrl":"https://doi.org/10.59277/mrar.2023.25.75.3.465","url":null,"abstract":"Oscillatory motions of incompressible viscous fluids with exponential dependence of viscosity on the pressure between infinite horizontal parallel plates are analytically and numerically studied. The fluid motion is generated by the lower plate that oscillates in its plane and exact expressions are established for the steady-state solutions. The convergence of starting solutions to the corresponding steady-state solutions is graphically proved. The steady solutions corresponding to the simple Couette flow of the same fluids are obtained as limiting cases of the previous solutions. As expected, the fluid velocity diminishes for increasing values of the pressure-viscosity coefficient and ordinary fluids flow faster. The time required to reach the steady-state is graphically approximated. The spatial profiles of the starting solutions are presented both for oscillatory motions and the simple Couette flow.","PeriodicalId":49858,"journal":{"name":"Mathematical Reports","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135953457","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 an overdetermined eigenvalue problem with mems operator 一类带mems算子的超定特征值问题
4区 数学
Mathematical Reports Pub Date : 2023-01-01 DOI: 10.59277/mrar.2023.25.75.3.365
Saïma KHENISSY, IBRAHIM ZOUHIR
{"title":"On an overdetermined eigenvalue problem with mems operator","authors":"Saïma KHENISSY, IBRAHIM ZOUHIR","doi":"10.59277/mrar.2023.25.75.3.365","DOIUrl":"https://doi.org/10.59277/mrar.2023.25.75.3.365","url":null,"abstract":"We consider an overdetermined eigenvalue problem related to the MEMS operator given by Lτ := ∆2 − τ∆ on a smooth bounded domain Ω ⊂ R N , N ≥ 2. We give radial solutions on balls. Moreover, we establish a symmetry result with respect to operator Lτ , that is, under some hypotheses, we show that if a solution does exist to the overdetermined eigenvalue problem, then the domain Ω must be a ball.","PeriodicalId":49858,"journal":{"name":"Mathematical Reports","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135953775","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
SINGULARITIES OF QUOTIENT SURFACES OF K3 SURFACES k3曲面商曲面的奇异性
4区 数学
Mathematical Reports Pub Date : 2023-01-01 DOI: 10.59277/mrar.2023.25.75.3.413
SHINGO TAKI
{"title":"SINGULARITIES OF QUOTIENT SURFACES OF K3 SURFACES","authors":"SHINGO TAKI","doi":"10.59277/mrar.2023.25.75.3.413","DOIUrl":"https://doi.org/10.59277/mrar.2023.25.75.3.413","url":null,"abstract":"We study cyclic quotient singularities given by automorphisms of maximum order on K3 surfaces. In particular, we describe fixed loci of such automorphisms, and provide types of these singularities","PeriodicalId":49858,"journal":{"name":"Mathematical Reports","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135953476","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
SHORTER PROOF OF THE RIESZ INTERPOLATION FORMULA FOR TRIGONOMETRIC POLYNOMIALS 三角多项式的riesz插值公式的简短证明
IF 0.1 4区 数学
Mathematical Reports Pub Date : 2023-01-01 DOI: 10.59277/mrar.2023.25.75.2.231
W. Chu
{"title":"SHORTER PROOF OF THE RIESZ INTERPOLATION FORMULA FOR TRIGONOMETRIC POLYNOMIALS","authors":"W. Chu","doi":"10.59277/mrar.2023.25.75.2.231","DOIUrl":"https://doi.org/10.59277/mrar.2023.25.75.2.231","url":null,"abstract":"By means of partial fraction decompositions, a shorter proof is presented for the important interpolation formula of trigonometric polynomials discovered by Riesz (1914).","PeriodicalId":49858,"journal":{"name":"Mathematical Reports","volume":"1 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87188960","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
SESQUILINEAR FORMS AND THE ORTHOGONALITY PRESERVING PROPERTY 半线性形式和保持正交性
IF 0.1 4区 数学
Mathematical Reports Pub Date : 2023-01-01 DOI: 10.59277/mrar.2023.25.75.2.235
S. M. S. Nabavi Sales
{"title":"SESQUILINEAR FORMS AND THE ORTHOGONALITY PRESERVING PROPERTY","authors":"S. M. S. Nabavi Sales","doi":"10.59277/mrar.2023.25.75.2.235","DOIUrl":"https://doi.org/10.59277/mrar.2023.25.75.2.235","url":null,"abstract":"We consider the orthogonality preserving property to study sesquilinear forms. We state some characterizations for Hermitian sesquilinear forms through this kind of approach. We, then, state a Wigner type equation and present some results in this regard.","PeriodicalId":49858,"journal":{"name":"Mathematical Reports","volume":"276 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75032479","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 1
IMMEDIATE EXTENSIONS OF VALUATION RINGS AND 估值环和的直接扩展
4区 数学
Mathematical Reports Pub Date : 2023-01-01 DOI: 10.59277/mrar.2023.25.75.3.505
DORIN POPESCU
{"title":"IMMEDIATE EXTENSIONS OF VALUATION RINGS AND","authors":"DORIN POPESCU","doi":"10.59277/mrar.2023.25.75.3.505","DOIUrl":"https://doi.org/10.59277/mrar.2023.25.75.3.505","url":null,"abstract":"We describe the immediate extensions of a one dimensional valuation ring V which could be embedded in some separation of a ultrapower of V with respect to a certain ultrafilter. For such extensions, a kind of Artin’s approximation holds.","PeriodicalId":49858,"journal":{"name":"Mathematical Reports","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135954541","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
PERFECT PACKING OF SQUARES 正方形的完全包装
IF 0.1 4区 数学
Mathematical Reports Pub Date : 2022-12-08 DOI: 10.59277/mrar.2023.25.75.2.221
Antal Jo'os
{"title":"PERFECT PACKING OF SQUARES","authors":"Antal Jo'os","doi":"10.59277/mrar.2023.25.75.2.221","DOIUrl":"https://doi.org/10.59277/mrar.2023.25.75.2.221","url":null,"abstract":"It is known that ∞P i=1 1/i2 = π2/6. Meir and Moser asked what is the smallest ϵ such that all the squares of sides of length 1, 1/2, 1/3, . . . can be packed into a rectangle of area π2/6 + ϵ. A packing into a rectangle of the right area is called perfec","PeriodicalId":49858,"journal":{"name":"Mathematical Reports","volume":"189 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88112026","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
DEPTH AND STANLEY DEPTH OF POWERS OF THE EDGE Depth and Stanley depth of powers of the edge ideals of some caterpillar and lobster trees 一些毛虫树和龙虾树的理想边缘的深度和斯坦利的深度幂
IF 0.1 4区 数学
Mathematical Reports Pub Date : 2022-02-26 DOI: 10.59277/mrar.2023.25.75.2.199
Tooba Zahid, Zunaira Sajid, M. Ishaq
{"title":"DEPTH AND STANLEY DEPTH OF POWERS OF THE EDGE Depth and Stanley depth of powers of the edge ideals of some caterpillar and lobster trees","authors":"Tooba Zahid, Zunaira Sajid, M. Ishaq","doi":"10.59277/mrar.2023.25.75.2.199","DOIUrl":"https://doi.org/10.59277/mrar.2023.25.75.2.199","url":null,"abstract":"Let S be a ring of polynomials in finitely many variables over a field. In this paper, we give lower bounds for depth and Stanley depth of modules of the type S/It for t ≥ 1, where I is the edge ideal of some caterpillar and lobster trees. These new bound","PeriodicalId":49858,"journal":{"name":"Mathematical Reports","volume":"6 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80234334","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
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