Analysis Mathematica最新文献_第3页

Kolmogorov widths of anisotropic Sobolev classes 各向异性Sobolev类的Kolmogorov宽度

IF 0.5 3区数学

Analysis Mathematica Pub Date : 2026-03-23 DOI: 10.1007/s10476-026-00148-2

A. A. Vasil’eva

引用次数: 0

On the constant and extremal function for Hardy inequality in (L_p) 中Hardy不等式的常函数和极值函数 (L_p)

IF 0.5 3区数学

Analysis Mathematica Pub Date : 2026-03-23 DOI: 10.1007/s10476-026-00151-7

I. Gadjev

引用次数: 0

Homeomorphism theorem for sums of translates on the real axis 实轴上平移和的同胚定理

IF 0.5 3区数学

Analysis Mathematica Pub Date : 2026-03-13 DOI: 10.1007/s10476-026-00154-4

T. M. Nikiforova

{"title":"Homeomorphism theorem for sums of translates on the real axis","authors":"T. M. Nikiforova","doi":"10.1007/s10476-026-00154-4","DOIUrl":"10.1007/s10476-026-00154-4","url":null,"abstract":"<div>\u0000In this paper, we study sums of translates on the real axis. These functions generalize logarithms of weighted algebraic polynomials. Namely, we are dealing with functions\u0000<div><div>$$(Ftext{y},t) := J(t) + sum _{j=1}^n K_j(t-y_j), quad text{y} := (y1,ldots,y_n), y_1 le cdots le y_n, t in mathbb{R},$$</div></div>\u0000where the kernels(K_1,ldots,K_n) are concave on ((-infty,0)) and on ((0,infty)), having a singularity at (0), and (Jcolon mathbb{R}to mathbb{R}cup{-infty}) is\u0000the field function. We consider \"local maxima\"\u0000<div><div>$$m_0(text{y}) := sup _{t in (-infty, y_1]} F(text{y}, t), quad m_n(text{y}) := sup _{t in [y_n, infty)} F(text{y}, t),$$</div></div><div><div>$$m_j(text{y}) := sup _{t in [y_j, y_{j+1}]} F(text{y}, t), quad j = 1,ldots,n-1, $$</div></div>\u0000and the difference function\u0000<div><div>$$(Dtext{y}) := (m_1text({y})-m_0text({y}), m_2text({y})-m_1text({y}), cdots, m_ntext({y})-m_{n-1}text({y})). $$</div></div>\u0000We prove that, under certain assumptions on the kernels and the field, (D) is a homeomorphism between its domain and (mathbb{R}^n). \u0000</div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"52 1","pages":"307 - 331"},"PeriodicalIF":0.5,"publicationDate":"2026-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147665674","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 real functions with graphs either connected or locally connected 图连通或局部连通的实函数

IF 0.5 3区数学

Analysis Mathematica Pub Date : 2026-03-12 DOI: 10.1007/s10476-026-00152-6

G. Kuba

{"title":"On real functions with graphs either connected or locally connected","authors":"G. Kuba","doi":"10.1007/s10476-026-00152-6","DOIUrl":"10.1007/s10476-026-00152-6","url":null,"abstract":"<div>Let ( mathcal{G} ) denote the \u0000family of all subspaces ( G ) of the plane ( mathbb{R}^2)\u0000such that ( G ) is the graph of a function from ( mathbb{R}) to ( mathbb{R}).\u0000We prove that ( mathcal{G} ) \u0000has two subfamilies ( mathcal{G}_1,mathcal{G}_2 ) of connected\u0000spaces such that the cardinality of ( mathcal{G}_1 ) is ( mathbf{c} :=2^{aleph_0} ) \u0000and the cardinality of ( mathcal{G}_2 ) is ( 2^ mathbf{c} ), \u0000every space in ( mathcal{G}_1 ) is completely metrizable,\u0000each ( Ginmathcal{G}_2 ) is a dense subset of ( mathbb{R}^2),\u0000and if ( X_1,X_2 in mathcal{G}_1cupmathcal{G}_2 ) are distinct\u0000then the space ( X_1 ) is neither homeomorphic to a subspace\u0000of ( X_2 ) nor homeomorphic to a proper subspace of ( X_1).\u0000On the other hand, the family ( mathcal{G} ) contains precisely \u0000(aleph_0 ) locally connected spaces\u0000up to homeomorphism, and if ( X), (Y ) are such spaces (including \u0000the case (X=Y)) then (X ) is homeomorphic to some proper subspace of ( Y).\u0000Furthermore, if ( tau ) is a topology on the set ( mathbb{R} )\u0000finer than the Euclidean topology and the space ( ( mathbb{R},tau) ) is separable and locally connected, then the space is locally compact and \u0000homeomorphic to some space in ( mathcal{G} ). \u0000In a very natural way we establish a complete classification of all these refinements ( tau ) of the real line. </div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"52 1","pages":"153 - 172"},"PeriodicalIF":0.5,"publicationDate":"2026-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147665676","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

Zalcman-Pang lemma for holomorphic curves in (mathbb{P}^N(mathbb{C})) 中全纯曲线的Zalcman-Pang引理 (mathbb{P}^N(mathbb{C}))

IF 0.5 3区数学

Analysis Mathematica Pub Date : 2026-03-12 DOI: 10.1007/s10476-026-00145-5

S. Mehta, K. S. Charak

引用次数: 0

On the average scale-invariant Cassinian metric 在平均尺度不变的卡西尼度规上

IF 0.5 3区数学

Analysis Mathematica Pub Date : 2026-03-12 DOI: 10.1007/s10476-026-00146-4

M. Mohapatra, A. Rasila, M. Vuorinen

引用次数: 0

Turán type inequalities for modified big (q)-Bessel functions 修正大(q) -贝塞尔函数的Turán型不等式