Journal d'Analyse Mathématique最新文献_第3页

Semiclassical states for a magnetic nonlinear Schrödinger equation with exponential critical growth in ℝ2 具有指数临界增长ℝ2 的磁性非线性薛定谔方程的半经典状态

Journal d'Analyse Mathématique Pub Date : 2023-12-12 DOI: 10.1007/s11854-023-0312-1

Pietro d’Avenia, Chao Ji

引用次数: 0

Oscillatory integral operators with homogeneous phase functions 具有同相函数的振荡积分算子

Journal d'Analyse Mathématique Pub Date : 2023-12-12 DOI: 10.1007/s11854-023-0320-1

引用次数: 0

S1-bounded Fourier multipliers on H1(ℝ) and functional calculus for semigroups H1(ℝ) 上的 S1 有界傅里叶乘数和半群的函数微积分

Journal d'Analyse Mathématique Pub Date : 2023-12-12 DOI: 10.1007/s11854-023-0317-9

{"title":"S1-bounded Fourier multipliers on H1(ℝ) and functional calculus for semigroups","authors":"","doi":"10.1007/s11854-023-0317-9","DOIUrl":"https://doi.org/10.1007/s11854-023-0317-9","url":null,"abstract":"<h3>Abstract</h3> Let T: H1(ℝ) → H1(ℝ) be a bounded Fourier multiplier on the analytic Hardy space H1(ℝ) ⊂ L1(ℝ) and let m ∈ L∞(ℝ+) be its symbol, that is, (widehat {T(h)} = mhat h) for all h ∈ H1(ℝ). Let S1 be the Banach space of all trace class operators on ℓ2. We show that T admits a bounded tensor extension (Toverline otimes {I_{{S_1}}}:{H^1}(mathbb{R};{S^1}) to {H^1}(mathbb{R};{S^1})) if and only if there exist a Hilbert space ℌ and two functions α, β ∈ L∞(ℝ+: ℌ) such that m(s+t) = 〈α(t), β(s)〉ℌ for almost every (s, t) ∈ ℝ + 2 . Such Fourier multipliers are called S1-bounded and we let ({{cal M}_{{S^1}}}({H^1}(mathbb{R}))) denote the Banach space of all S1-bounded Fourier multipliers. Next we apply this result to functional calculus estimates, in two steps. First we introduce a new Banach algebra ({{cal A}_{0,{S^1}}}({mathbb{C}_ +})) of bounded analytic functions on ℂ+ = {z ∈ ℂ:Re(z) > 0} and show that its dual space coincides with ({{cal M}_{{S^1}}}({H^1}(mathbb{R}))) . Second, given any bounded C0-semigroup (Tt)t≥0 on Hilbert space, and any b ∈ L1(ℝ+), we establish an estimate (||int_0^infty {b(t)} {T_t}dt||,, lesssim,,||{L_b}|{|_{{{cal A}_{0,{S^1}}}}}) , where Lb denotes the Laplace transform of b. This improves previous functional calculus estimates recently obtained by the first two authors.","PeriodicalId":502135,"journal":{"name":"Journal d'Analyse Mathématique","volume":"79 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139030462","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

Scattering theory with unitary twists 具有单元扭曲的散射理论

Journal d'Analyse Mathématique Pub Date : 2023-12-12 DOI: 10.1007/s11854-023-0313-0

Moritz Doll, Ksenia Fedosova, Anke Pohl

引用次数: 0

Quantitative behavior of unipotent flows and an effective avoidance principle 单能流的定量行为和有效规避原则

Journal d'Analyse Mathématique Pub Date : 2023-12-12 DOI: 10.1007/s11854-023-0309-9

Elon Lindenstrauss, Gregorii Margulis, Amir Mohammadi, Nimish A. Shah

引用次数: 0

Asymptotics for Christoffel functions associated to continuum Schrödinger operators 与连续薛定谔算子相关的 Christoffel 函数渐近论

Journal d'Analyse Mathématique Pub Date : 2023-12-12 DOI: 10.1007/s11854-023-0319-7

Benjamin Eichinger

引用次数: 0

The space of Hardy-weights for quasilinear equations: Maz’ya-type characterization and sufficient conditions for existence of minimizers 准线性方程的哈代权重空间：马兹亚型特征和存在最小值的充分条件

Journal d'Analyse Mathématique Pub Date : 2023-12-12 DOI: 10.1007/s11854-023-0318-8

Ujjal Das, Yehuda Pinchover

{"title":"The space of Hardy-weights for quasilinear equations: Maz’ya-type characterization and sufficient conditions for existence of minimizers","authors":"Ujjal Das, Yehuda Pinchover","doi":"10.1007/s11854-023-0318-8","DOIUrl":"https://doi.org/10.1007/s11854-023-0318-8","url":null,"abstract":"Let p ∈ (1, ∞) and Ω ⊂ ℝN be a domain. Let$$A: = ({a_{ij}}) in L_{{rm{loc}}}^infty (Omega;{mathbb{R}^{N times N}})$$be a symmetric and locally uniformly positive definite matrix. Set$$|xi |_A^2:sumlimits_{i,j = 1}^N {{a_{ij}}(x){xi _i}{xi _j}},$$ξ ∈ ℝN, and let V be a given potential in a certain local Morrey space. We assume that the energy functional$${Q_{p,A,V}}(phi ): = int_Omega {[|nabla phi |_A^p + V|phi {|^p}]{rm{d}}x} $$is nonnegative in W1,p(Ω) ∩ Cc(Ω).We introduce a generalized notion of Qp,A,V-capacity and characterize the space of all Hardy-weights for the functional Qp,A,V, extending Maz’ya’s well known characterization of the space of Hardy-weights for the p-Laplacian. In addition, we provide various sufficient conditions on the potential V and the Hardy-weight g such that the best constant of the corresponding variational problem is attained in an appropriate Beppo Levi space.","PeriodicalId":502135,"journal":{"name":"Journal d'Analyse Mathématique","volume":"17 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139030283","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

Quasilinear elliptic equations involving measure valued absorption terms and measure data 涉及量值吸收项和量值数据的准线性椭圆方程

Journal d'Analyse Mathématique Pub Date : 2023-12-12 DOI: 10.1007/s11854-023-0321-0

Konstantinos T. Gkikas

引用次数: 0

Symmetry breaking for ground states of biharmonic NLS via Fourier extension estimates 通过傅立叶扩展估计打破双谐波 NLS 地面态的对称性

Journal d'Analyse Mathématique Pub Date : 2023-12-12 DOI: 10.1007/s11854-023-0311-2

Enno Lenzmann, Tobias Weth

引用次数: 0

Semiclassical analysis of a nonlocal boundary value problem related to magnitude 与幅度有关的非局部边界值问题的半经典分析

Journal d'Analyse Mathématique Pub Date : 2023-12-12 DOI: 10.1007/s11854-023-0310-3

Heiko Gimperlein, Magnus Goffeng, Nikoletta Louca

引用次数: 0