Results 51 to 60 of about 132 (119)
Optimality of embeddings in Orlicz spaces
Mathematische Nachrichten, Volume 298, Issue 7, Page 2380-2400, July 2025.Abstract Working with function spaces in various branches of mathematical analysis introduces optimality problems, where the question of choosing a function space both accessible and expressive becomes a nontrivial exercise. A good middle ground is provided by Orlicz spaces, parameterized by a single Young function and thus accessible, yet expansive ...
Tomáš Beránek
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Maximal Operators Associated With Walsh‐Paley Systems on Dyadic Hardy Spaces
Mathematical Methods in the Applied Sciences, Volume 48, Issue 9, Page 9770-9777, June 2025.ABSTRACT The concept of a critical point of the maximum operator T$$ T $$ associated with the Walsh‐Paley system is the focus of this study. Namely, a point p0∈(0,1)$$ {p}_0\in \left(0,1\right) $$ is called critical with respect to T$$ T $$, if T$$ T $$ is bounded from Hp$$ {H}_p $$ to Lp$$ {L}_p $$, for all p>p0$$ p>{p}_0 $$ and it is not bounded from
Ushangi Goginava +2 more
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Effective upper bounds on the number of resonances in potential scattering
Mathematika, Volume 71, Issue 1, January 2025.Abstract We prove upper bounds on the number of resonances and eigenvalues of Schrödinger operators −Δ+V$-\Delta +V$ with complex‐valued potentials, where d⩾3$d\geqslant 3$ is odd. The novel feature of our upper bounds is that they are effective, in the sense that they only depend on an exponentially weighted norm of V.
Jean‐Claude Cuenin
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Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this paper, we find sufficient conditions on functions ω1, ω2 which ensure the boundedness of Riesz potentials and their commutators with BMO functions from one local complementary generalized Orlicz–Morrey spaces M ∁Φ,ω1x0ℝn to the spaces M ∁Ψ,ω2x0ℝn. As a consequence of the boundedness of the Riesz potential, we give the boundedness the fractional
Canay Aykol +3 more
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Copper Lacus Sequence Spaces Associated With Operator Ideals and Their Geometric Properties
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this research, we introduce the regular Copper Lucas matrix operator, which is based on the Copper Lucas sequence. We investigate the sequence spaces c0(Γ) and c(Γ), as well as lpΓ for 1 ≤ p ≤ ∞, all of which are linked to the newly defined regular Copper Lucas matrix Γ.
Shiva Shah +4 more
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Normality, Quasinormality and Periodic Points [PDF]
Nagoya Mathematical Journal, 2009 AbstractLet M > 1 be a positive number. Let be a family of holomorphic functions f in some domain D ⊂ ℂ for which there exists an integer k = k(f) > 2 such that |(fk)′(ζ)| ≤ Mk for every periodic point ζ of period k of f in D. We show first that is quasinormal of order at most one in D. This strengthens a result of W. Bergweiler.
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Quasinormal modes and holography [PDF]
Physical Review D, 2005 28 pages; v2: typos fixed, ref ...
Kovtun, Pavel K., Starinets, Andrei O.
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Mixed‐norm estimates via the helicoidal method
Mathematika, Volume 70, Issue 3, July 2024.Abstract We prove multiple vector‐valued and mixed‐norm estimates for multilinear operators in Rd$\mathbb {R}^d$, more precisely for multilinear operators Tk$T_k$ associated to a symbol singular along a k$k$‐dimensional space and for multilinear variants of the Hardy‐Littlewood maximal function.
Cristina Benea, Camil Muscalu
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On Differential and Antidifferential Operators
Моделирование и анализ информационных систем, 2011 On the basis of the operator approach to differentiation we extend the concept of an antiderivative notion to wider classes of functions.
A. N. Morozov
doaj
Lp quasi-norm minimization: algorithm and applications
EURASIP Journal on Advances in Signal ProcessingSparsity finds applications in diverse areas such as statistics, machine learning, and signal processing. Computations over sparse structures are less complex compared to their dense counterparts and need less storage.
Omar M. Sleem +3 more
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