Ends, tangles and critical vertex sets
Sign Up to like & getrecommendations! Published in 2019 at "Mathematische Nachrichten"
DOI: 10.1002/mana.201800174
Abstract: We show that an arbitrary infinite graph $G$ can be compactified by its ends plus its critical vertex sets, where a finite set $X$ of vertices of an infinite graph is critical if its deletion… read more here.
Keywords: vert; vert theta; vert vert; vertex sets ... See more keywords
Power Set of Some Quasinilpotent Weighted Shifts
Sign Up to like & getrecommendations! Published in 2021 at "Integral Equations and Operator Theory"
DOI: 10.1007/s00020-021-02633-9
Abstract: For a quasinilpotent bounded linear operator T, we write $$k_x=\limsup \limits _{z\rightarrow 0}\frac{\log \Vert (z-T)^{-1}x\Vert }{\log \Vert (z-T)^{-1}\Vert }$$ for each nonzero vector x. Set $$\Lambda (T)=\{k_x:x\ne 0\}$$ , and call it the power set… read more here.
Keywords: vert; tau; lambda; power set ... See more keywords
On Pointwise Convergence for Schrödinger Operator in a Convex Domain
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Fourier Analysis and Applications"
DOI: 10.1007/s00041-018-09658-6
Abstract: In this paper, we prove that the maximal inequality $$\begin{aligned} \big \Vert \sup _{|t|12 with $$\Omega =\{(x,y)\in \mathbb {R}^2\mid x>0\}$$Ω={(x,y)∈R2∣x>0} and $$\Delta _D=\partial _x^2+(1+x)\partial _y^2$$ΔD=∂x2+(1+x)∂y2. As a direct application, we obtain the pointwise convergence for… read more here.
Keywords: vert; schr dinger; convex domain; pointwise convergence ... See more keywords
Sup-norms of eigenfunctions in the level aspect for compact arithmetic surfaces
Sign Up to like & getrecommendations! Published in 2019 at "Mathematische Annalen"
DOI: 10.1007/s00208-019-01923-3
Abstract: Let D be an indefinite quaternion division algebra over $${{\mathbb {Q}}}$$ Q . We approach the problem of bounding the sup-norms of automorphic forms $$\phi $$ ϕ on $$D^\times ({{\mathbb {A}}})$$ D × ( A… read more here.
Keywords: vert infty; vert; phi vert; epsilon ... See more keywords
Rankin–Selberg L-functions and “beyond endoscopy”
Sign Up to like & getrecommendations! Published in 2019 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-019-02431-5
Abstract: Let f and g be two holomorphic cuspidal Hecke eigenforms on the full modular group $$ \text {SL}_{2}({\mathbb {Z}}). $$ We show that the Rankin–Selberg L-function $$L(s, f \times g)$$ has no pole at $$s=1$$… read more here.
Keywords: functions beyond; beyond endoscopy; vert; selberg functions ... See more keywords
On delocalization of eigenvectors of random non-Hermitian matrices
Sign Up to like & getrecommendations! Published in 2018 at "Probability Theory and Related Fields"
DOI: 10.1007/s00440-019-00956-8
Abstract: We study delocalization of null vectors and eigenvectors of random matrices with i.i.d entries. Let A be an $$n\times n$$ n × n random matrix with i.i.d real subgaussian entries of zero mean and unit… read more here.
Keywords: vert mathbf; log log; vert; log ... See more keywords
Bochner representable operators on Banach function spaces
Sign Up to like & getrecommendations! Published in 2018 at "Positivity"
DOI: 10.1007/s11117-018-0576-3
Abstract: Let $$(E,\Vert \cdot \Vert _E)$$(E,‖·‖E) be a Banach function space, $$E'$$E′ the Köthe dual of E and $$(X,\Vert \cdot \Vert _X)$$(X,‖·‖X) be a Banach space. It is shown that every Bochner representable operator $$T:E\rightarrow X$$T:E→X… read more here.
Keywords: cdot vert; bochner representable; vert; vert cdot ... See more keywords
Bihom derivations in Banach algebras
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-019-0722-y
Abstract: In this paper, we introduce bihom derivations in complex Banach algebras. Using the fixed point method and the direct method, we prove the Hyers–Ulam stability of bihom derivations in complex Banach algebras, associated with the… read more here.
Keywords: vert; bihom derivations; banach algebras; derivations banach ... See more keywords
Study of the cosmic ray intensity in relation to geomagnetic storms and solar interplanetary parameters for solar cycles 21 and 23
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Astrophysics and Astronomy"
DOI: 10.1007/s12036-019-9593-2
Abstract: This paper comprises the comparative study of the behavior of CRI with geomagnetic storms, southward component of IMF, i.e. $${\vert }{} { Bz}{\vert }$$|Bz|, IMF B, solar wind speed (V) and $$V\cdot {\vert }{} {… read more here.
Keywords: cdot vert; vert; cri; geomagnetic storms ... See more keywords
Condition numbers of matrices with given spectrum
Sign Up to like & getrecommendations! Published in 2019 at "Analysis and Mathematical Physics"
DOI: 10.1007/s13324-019-00328-4
Abstract: This note surveys recent strategies to estimate the condition number $$CN(T)=\Vert T\Vert \cdot \Vert T^{-1}\Vert $$CN(T)=‖T‖·‖T-1‖ of complex $$n\times n$$n×n matrices T with given spectrum. More precisely, we present a proof of the fact that… read more here.
Keywords: vert; given spectrum; numbers matrices; condition numbers ... See more keywords
Existence of Multiple Solutions for a Class Non-uniformly Elliptic Equations with Critical Exponential Growth
Sign Up to like & getrecommendations! Published in 2018 at "Bulletin of the Iranian Mathematical Society"
DOI: 10.1007/s41980-018-0033-x
Abstract: This paper deals with the existence and multiplicity of weak solutions to non-uniformly elliptic problem $$\begin{aligned} -\text {div}(a(x,\nabla u))+V(x)\vert u\vert ^{N-2} u=\lambda \Bigg (\exp \Bigg (\alpha \vert u\vert ^{\frac{N}{N-1}}\Bigg )+f(x,u)\Bigg ), \end{aligned}$$-div(a(x,∇u))+V(x)|u|N-2u=λ(exp(α|u|NN-1)+f(x,u)),in $$\mathbb {R}^N$$RN, where… read more here.
Keywords: solutions class; vert; uniformly elliptic; multiple solutions ... See more keywords