Results 61 to 70 of about 21,084 (200)

Potential trace inequalities via a Calderón‐type theorem

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract In this paper, we develop a general theoretical tool for the establishment of the boundedness of notoriously difficult operators (such as potentials) on certain specific types of rearrangement‐invariant function spaces from analogous properties of operators that are easier to handle (such as fractional maximal operators).
Zdeněk Mihula, Luboš Pick, Daniel Spector   +2 more
wiley   +1 more source

Operator Characterizations and Some Properties of g-Frames on Hilbert Spaces

Journal of Function Spaces and Applications, 2013
Given the g-orthonormal basis for Hilbert space H, we characterize the g-frames, normalized tight g-frames, and g-Riesz bases in terms of the g-preframe operators.
Xunxiang Guo
doaj   +1 more source

On the lowest by $x$-variable terms influence on the spectral properties of dirichlet problem for the hyperbolic systems

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
We made the comparison study and characterize the spectral properties of differential operators induced by the Dirichlet problem for the hyperbolic system without the lowest terms of the form $$ \cfrac{\partial^2{u^1}}{\partial{t}^2}+\cfrac{\partial^2{u ...
Olesya V Alexeeva, Vasiliy V Kornienko, Dmitriy V Kornienko   +2 more
doaj   +1 more source

Riesz Bases of Root Vectors of Indefinite Sturm-Liouville problems with eigenparameter dependent boundary conditions, I [PDF]

, 2007
We consider a regular indefinite Sturm-Liouville problem with two self-adjoint boundary conditions, one being affinely dependent on the eigenparameter.
Binding, Paul, Ćurgus, Branko
core   +5 more sources

The weak (1,1) boundedness of Fourier integral operators with complex phases

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Let T$T$ be a Fourier integral operator of order −(n−1)/2$-(n-1)/2$ associated with a canonical relation locally parametrised by a real‐phase function. A fundamental result due to Seeger, Sogge and Stein proved in the 90's gives the boundedness of T$T$ from the Hardy space H1$H^1$ into L1$L^1$. Additionally, it was shown by T.
Duván Cardona, Michael Ruzhansky
wiley   +1 more source

A review of a Riesz basis property for indefinite Sturm-Liouville problems [PDF]

Operators and Matrices, 2011
Consider the indefinite Sturm-Liouville problem−f ′′ = λrf, f(−1) = f(1) = 0 with an indefinite weight function r ∈ L[−1, 1] satisfying xr(x) > 0. A number of conditions for the so-called Riesz basis property are reviewed, i.e. conditions such that the eigenfunctions form a Ries basis of the Hilbert space L|r|[−1, 1].
Paul A. Binding, Andreas Fleige
openaire   +1 more source

Dimer models and conformal structures

Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.
Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala, Erik Duse, István Prause, Xiao Zhong   +3 more
wiley   +1 more source

On solvability of the inverse problem for a fourth-order parabolic equation with a complex-valued coefficient

Қарағанды университетінің хабаршысы. Математика сериясы
In this paper, the inverse problem for a fourth-order parabolic equation with a variable complex-valued coefficient is studied by the method of separation of variables.
A.B. Imanbetova, A.A. Sarsenbi, B. Seilbekov   +2 more
doaj   +1 more source

Nonlocal multipoint problem for a differential equation of $2n$-th order with operator coefficients

Karpatsʹkì Matematičnì Publìkacìï, 2021
In the article, the spectral properties of a multipoint problem for a differential operator equation of order $2n$ are studied. The operator of the problem has an infinite number of multiple eigenvalues.
Ya.O. Baranetskij, I.I. Demkiv, A.V. Solomko, O.M. Sus'   +3 more
doaj   +1 more source

On the Equivalence Between a Minimal Codomain Cardinality Riesz Basis Construction, a System of Hadamard–Sylvester Operators, and a Class of Sparse, Binary Optimization Problems [PDF]

, 2014
Piecewise, low-order polynomial, Riesz basis families are constructed such that they share the same coefficient functionals of smoother, orthonormal bases in a localized indexing subset.
Nelson, JDB
core