Concrete Operators最新文献_第8页

On a class of analytic functions generated by fractional integral operator 关于一类由分数积分算子生成的解析函数

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Concrete Operators Pub Date : 2017-01-26 DOI: 10.1515/conop-2017-0001

R. Ibrahim

引用次数: 4

Trace inequalities of Shisha-Mond type for operators in Hilbert spaces Hilbert空间中算子的Shisha-Mond型迹不等式

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Concrete Operators Pub Date : 2017-01-26 DOI: 10.1515/conop-2017-0004

S. Dragomir

引用次数: 1

Hermitian composition operators on Hardy-Smirnov spaces Hardy-Smirnov空间上的Hermitian复合算子

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Concrete Operators Pub Date : 2017-01-26 DOI: 10.1515/conop-2017-0002

Gajath Gunatillake

引用次数: 1

A Berezin-type map and a class of weighted composition operators 一个berezin型映射和一类加权复合算子

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Concrete Operators Pub Date : 2017-01-26 DOI: 10.1515/conop-2017-0003

N. Das

{"title":"A Berezin-type map and a class of weighted composition operators","authors":"N. Das","doi":"10.1515/conop-2017-0003","DOIUrl":"https://doi.org/10.1515/conop-2017-0003","url":null,"abstract":"Abstract In this paper we consider the map L defined on the Bergman space La2(𝔺+) $L_a^2({{rmmathbb{C}}_{rm{ + }}})$ of the right half plane ℂ+ by (Lf)(w)=πM′(w)∫𝔺+(fM′)(s)|bw(s)|2dA˜(s) $(Lf)(w) = pi M'(w)intlimits_{{{rmmathbb{C}}_{rm{ + }}}} {left( {{f over {M'}}} right)} (s){left| {{b_w}(s)} right|^2}dtilde A(s)$ where bw¯(s)=1π1+w1+w2Rew(s+w)2 ${b_{bar w}}(s) = {1 over {sqrt pi }}{{1 + w} over {1 + w}}{{2{mathop{Re}nolimits} w} over {{{(s + w)}^2}}}$ , s ∈ ℂ+ and Ms=1-s1+s $Ms = {{1 - s} over {1 + s}}$ . We show that L commutes with the weighted composition operators Wa, a ∈ 𝔻 defined on La2(𝔺+) $L_a^2({{rmmathbb{C}}_{rm{ + }}})$ , as Waf=(f∘ta)M′M′∘ta ${W_a}f = (f circ {t_a}){{M'} over {M' circ {t_a}}}$ , f∈La2(𝔺+) $f in L_a^2(mathbb{C_ + })$ . Here ta(s)=-ids+(1-c)(1+c)s+id $${t_a}(s) = {{ - ids + (1 - c)} over {(1 + c)s + id}} , if a = c + id ∈ 𝔻 c, d ∈ ℝ. For a ∈ 𝔻, define Va:La2(𝔺+)→La2(𝔺+) ${V_a}:L_a^2({{mathbb{C}}_{rm{ + }}}) to L_a^2({{mathbb{C}}_{rm{ + }}})$ by (Vag)(s) = (g∘ta)(s)la(s) where la(s)=1-|a|2((1+c)s+id)2 $la(s) = {{1 - {{left| a right|}^2}} over {{{((1 + c)s + id)}^2}}}$ .We look at the action of the class of unitary operators Va, a ∈ 𝔻 on the linear operator L. We establish that Lˆ = L where L⌢=∫𝔻VaLVadA(a) $mathord{buildrel{lower3pthbox{$scriptscriptstylefrown$}}over L} = intlimits_{mathbb{D}} {{V_a}L{V_a}dA(a)}$ and dA is the area measure on 𝔻. In fact the map L satisfies the averaging condition L˜(w1)=∫DL˜(ta¯(w1))dA(a),for all w1∈C+ $$tilde L({w_1}) = intlimits_{mathbb{D}} {tilde L({t_{bar a}}({w_1}))dA(a),{rm{for all }}{w_1} in {{rm{C}}_{rm{ + }}}}$$ where L˜(w1)=〈Lbw¯1,bw¯1〉 $tilde L({w_1}) = leftlangle {L{b_{{{bar w}_1}}},{b_{{{bar w}_1}}}} rightrangle$.","PeriodicalId":53800,"journal":{"name":"Concrete Operators","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2017-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1515/conop-2017-0003","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47193947","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Vector-valued holomorphic and harmonic functions 向量值全纯函数与调和函数

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Concrete Operators Pub Date : 2016-04-28 DOI: 10.1515/conop-2016-0007

W. Arendt

引用次数: 10

A remark on the multipliers on spaces of Weak Products of functions 函数的弱积空间上的乘数

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Concrete Operators Pub Date : 2016-03-03 DOI: 10.1515/conop-2016-0004

S. Richter, B. Wick

引用次数: 5

A quantitative approach to weighted Carleson condition 加权Carleson条件的定量方法