Results 1 to 10 of about 4,798,712 (208)
Variable Anisotropic Hardy Spaces with Variable Exponents [PDF]
Analysis and Geometry in Metric Spaces, 2021 Let p(·) : ℝn → (0, ∞] be a variable exponent function satisfying the globally log-Hölder continuous and let Θ be a continuous multi-level ellipsoid cover of ℝn introduced by Dekel et al. [12].
Yang Zhenzhen +3 more
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Methods of Retrieving Large-Variable Exponents [PDF]
Symmetry, 2022 Methods of determining, from small-variable asymptotic expansions, the characteristic exponents for variables tending to infinity are analyzed. The following methods are considered: diff-log Padé summation, self-similar factor approximation, self-similar
V. Yukalov, S. Gluzman
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Local Muckenhoupt class for variable exponents [PDF]
Journal of Inequalities and Applications, 2021 This work extends the theory of Rychkov, who developed the theory of A p loc $A_{p}^{\mathrm{loc}}$ weights. It also extends the work by Cruz-Uribe SFO, Fiorenza, and Neugebauer. The class A p ( ⋅ ) loc $A_{p(\cdot )}^{\mathrm{loc}}$ is defined.
Toru Nogayama, Yoshihiro Sawano
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Journal of Function Spaces, 2021 In this paper, the variable-order fractional Laplacian equations with variable exponents and the Kirchhoff-type problem driven by p·-fractional Laplace with variable exponents were studied.
Yating Guo, Guoju Ye
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Lorentz spaces with variable exponents [PDF]
Mathematische Nachrichten, 2013 We introduce Lorentz spaces and with variable exponents. We prove several basic properties of these spaces including embeddings and the identity . We also show that these spaces arise through real interpolation between and . Furthermore, we answer in a negative way the question posed in whether the Marcinkiewicz interpolation theorem holds in the ...
Henning Kempka, Jan Vybíral
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Malliavin Derivatives in Spaces with Variable Exponents [PDF]
Journal of Function Spaces, 2014 Spaces with variable exponents Lpx(H,μ) and Lpx(H,μ;H) are introduced. After discussing some approximation results of Lpx(H,μ), Sobolev spaces on H with variable exponents are introduced.
Bochi Xu, Yongqiang Fu, Boping Tian
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Local regularity for nonlocal equations with variable exponents [PDF]
Mathematische Nachrichten, 2021 In this paper, we study local regularity properties of minimizers of nonlocal variational functionals with variable exponents and weak solutions to the corresponding Euler–Lagrange equations.
Jamil Chaker, Minhyun Kim
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Stability of eigenvalues for variable exponent problems [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2015 In the framework of variable exponent Sobolev spaces, we prove that the variational eigenvalues defined by inf sup procedures of Rayleigh ratios for the Luxemburg norms are all stable under uniform convergence of the exponents.
Francesca Colasuonno, Marco Squassina
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Generalized Almost Periodicity in Lebesgue Spaces with Variable Exponents, Part II
Mathematics, 2020 In this paper, we introduce and analyze several different notions of almost periodic type functions and uniformly recurrent type functions in Lebesgue spaces with variable exponent L p ( x ) .
Marko Kostić, Wei-Shih Du
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Generalized Almost Periodicity in Lebesgue Spaces with Variable Exponents
Mathematics, 2020 In this paper, we introduce and analyze Stepanov uniformly recurrent functions, Doss uniformly recurrent functions and Doss almost-periodic functions in Lebesgue spaces with variable exponents.
Marko Kostić, Wei-Shih Du
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