Results 71 to 80 of about 4,926,903 (245)
Remarks on a nonlinear nonlocal operator in Orlicz spaces [PDF]
Advances in Nonlinear Analysis, 2018 We study integral operators Lu(χ)=∫ℝℕψ(u(x)−u(y))J(x−y)dy $\mathcal{L}u\left( \chi \right)=\int{_{_{\mathbb{R}}\mathbb{N}}\psi \left( u\left( x \right)-u\left( y \right) \right)J\left( x-y \right)dy}$of the type of the fractional p-Laplacian operator ...
Ernesto Correa, A. Pablo
semanticscholar +1 more source
Non‐autonomous double phase eigenvalue problems with indefinite weight and lack of compactness
Bulletin of the London Mathematical Society, Volume 56, Issue 2, Page 734-755, February 2024.Abstract In this paper, we consider eigenvalues to the following double phase problem with unbalanced growth and indefinite weight, −Δpau−Δqu=λm(x)|u|q−2uinRN,$$\begin{equation*} \hspace*{3pc}-\Delta _p^a u-\Delta _q u =\lambda m(x)|u|^{q-2}u \quad \mbox{in} \,\, \mathbb {R}^N, \end{equation*}$$where N⩾2$N \geqslant 2$, 1
Tianxiang Gou, Vicenţiu D. Rădulescu
wiley +1 more source
Pointwise multipliers of Musielak--Orlicz spaces and factorization [PDF]
arXiv, 2018 We prove that the space of pointwise multipliers between two distinct Musielak--Orlicz spaces is another Musielak-Orlicz space and the function defining it is given by an appropriately generalized Legendre transform. In particular, we obtain characterization of pointwise multipliers between Nakano spaces.
arxiv
Approximation in weighted Orlicz spaces
Mathematica Slovaca, 2011 Abstract We prove some direct and converse theorems of trigonometric approximation in weighted Orlicz spaces with weights satisfying so called Muckenhoupt’s A p condition.
Daniyal M. Israfilov +2 more
openaire +4 more sources
Discrete logarithmic Sobolev inequalities in Banach spaces
Journal of the London Mathematical Society, Volume 109, Issue 2, February 2024.Abstract Let Cn={−1,1}n$\mathcal {C}_n=\lbrace -1,1\rbrace ^n$ be the discrete hypercube equipped with the uniform probability measure σn$\sigma _n$. We prove that if (E,∥·∥E)$(E,\Vert \cdot \Vert _E)$ is a Banach space of finite cotype and p∈[1,∞)$p\in [1,\infty)$, then every function f:Cn→E$f:\mathcal {C}_n\rightarrow E$ satisfies the dimension‐free ...
Dario Cordero‐Erausquin +1 more
wiley +1 more source
The canonical injection of the Hardy-Orlicz space $H^Ψ$ into the Bergman-Orlicz space ${\mathfrak B}^Ψ$ [PDF]
arXiv, 2010 We study the canonical injection from the Hardy-Orlicz space $H^\Psi$ into the Bergman-Orlicz space ${\mathfrak B}^\Psi$.
arxiv
Uniqueness and stability for the Vlasov-Poisson system with spatial density in Orlicz spaces [PDF]
, 2017 In this paper, we establish uniqueness of the solution of the Vlasov-Poisson system with spatial density belonging to a certain class of Orlicz spaces.
Thomas Holding, E. Miot
semanticscholar +1 more source
Journal of Function Spaces, Volume 2024, Issue 1, 2024.The Orlicz function‐defined sequence spaces of functions by relative uniform convergence of sequences related to p‐absolutely summable spaces are a new concept that is introduced in this article. We look at its various attributes, such as solidity, completeness, and symmetry. We also look at a few insertional connections involving these spaces.
Diksha Debbarma +4 more
wiley +1 more source
Pointwise multipliers on weak Orlicz spaces [PDF]
arXiv, 2018 We characterize the pointwise multipliers from a weak Orlicz space to another weak Orlicz space.
arxiv
Contractive projections in Orlicz sequence spaces [PDF]
arXiv, 2002 We characterize norm one complemented subspaces of Orlicz sequence spaces $\ell_M$ equipped with either Luxemburg or Orlicz norm, provided that the Orlicz function $M$ is sufficiently smooth and sufficiently different from the square function. This paper concentrates on the more difficult real case, the complex case follows from previously known ...
arxiv