Results 61 to 70 of about 400,575 (187)
Multiple solutions for Kirchhoff elliptic equations in Orlicz-Sobolev spaces
We investigate the existence of solutions of the Kirchhoff elliptic equations with nonlinearity in R N $R^{N}$ . Using the ideas developed in Orlicz spaces and the technique of variation principle, we prove that there are at least three solutions in ...
Shujun Wu
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We investigate the multiplicity of solutions for problems involving the fractional N-Laplacian. We obtain three theorems depending on the source terms in which the nonlinearities cross some eigenvalues. We obtain these results by direct computations with
Q-Heung Choi, Tacksun Jung
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The canonical injection of the Hardy-Orlicz space $H^Ψ$ into the Bergman-Orlicz space ${\mathfrak B}^Ψ$ [PDF]
We study the canonical injection from the Hardy-Orlicz space $H^\Psi$ into the Bergman-Orlicz space ${\mathfrak B}^\Psi$.
arxiv
Pointwise multipliers on weak Orlicz spaces [PDF]
We characterize the pointwise multipliers from a weak Orlicz space to another weak Orlicz space.
arxiv
Approximation in weighted Orlicz spaces
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
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Contractive projections in Orlicz sequence spaces [PDF]
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
Commutators of integral operators with functions in Campanato spaces on Orlicz-Morrey spaces [PDF]
We consider the commutators $[b,T]$ and $[b,I_{\rho}]$ on Orlicz-Morrey spaces, where $T$ is a Calder\'on-Zygmund operator, $I_{\rho}$ is a generalized fractional integral operator and $b$ is a function in generalized Campanato spaces. We give a necessary and sufficient condition for the boundedness of the commutators on Orlicz-Morrey spaces.
arxiv
Clifford Analysis on Orlicz-Sobolev Spaces [PDF]
In this article we develop few of the analogous theoretical results of Clifford analysis over Orlicz-Sobolev spaces and study mapping properties of the Dirac operator and the Teodorescu transform over these function spaces. We also get analogous decomposition results of Clifford valued Orlicz spaces and the generalized Orlicz-Sobolev spaces.
arxiv
Monotonicities of Quasi-Normed Orlicz Spaces
In this paper, we introduce a new Orlicz function, namely a b-Orlicz function, which is not necessarily convex. The Orlicz spaces LΦ generated by the b-Orlicz function Φ equipped with a Luxemburg quasi-norm contain both classical spaces Lp(p≥1) and Lp ...
Dong Ji, Yunan Cui
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In this paper, the authors introduce the Orlicz spaces corresponding to the Young function and, by virtue of the equivalent theorem between the modified K-functional and modulus of smoothness, establish the direct, inverse, and equivalent theorems for ...
Ling-Xiong Han, Feng Qi
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