Results 21 to 30 of about 139,960 (305)
Analytic Variable Exponent Hardy Spaces [PDF]
Advances in Operator Theory, 2018 We introduce a variable exponent version of the Hardy space of analytic functions on the unit disk. We then show some properties of the space and give an example of a variable exponent $p(\cdot)$ that satisfies the $\log$-Holder condition and $H^{p(\cdot)}\neq H^q$ for every constant exponent $q \in (1, \infty)$.
Gerardo A. Chacón, Gerardo Chacón
+7 more sources
An eigenvalue problem with variable exponents [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2013 A highly nonlinear eigenvalue problem is studied in a Sobolev space with variable exponent. The Euler-Lagrange equation for the minimization of a Rayleigh quotient of two Luxemburg norms is derived. The asymptotic case with a "variable infinity" is treated. Local uniqueness is proved for the viscosity solutions.
FRANZINA, GIOVANNI, Lindqvist, Peter
openaire +7 more sources
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
doaj +1 more source
Existence of solution to a critical equation with variable exponent [PDF]
, 2012 In this paper we study the existence problem for the $p(x)-$Laplacian operator with a nonlinear critical source. We find a local condition on the exponents ensuring the existence of a nontrivial solution that shows that the Pohozaev obstruction does not ...
Bonder, Julián Fernández +2 more
core +1 more source
Martingale transforms on Banach function spaces
Electronic Research Archive, 2022 We establish the boundedness of martingale transforms on Banach function spaces by using the Rubio de Francia extrapolation theory and the interpolation theorem by Zygmund.
Kwok-Pun Ho
doaj +1 more source
Solvability of Parametric Elliptic Systems with Variable Exponents
Moroccan Journal of Pure and Applied Analysis, 2023 In this paper, we study the solvability to the left of the positive infimum of all eigenvalues for some non-resonant quasilinear elliptic problems involving variable exponents.
Ouannasser Anass +1 more
doaj +1 more source
Reaction-diffusion coupled inclusions with variable exponents and large diffusion [PDF]
Opuscula Mathematica, 2021 This work concerns the study of asymptotic behavior of coupled systems of \(p(x)\)-Laplacian differential inclusions. We obtain that the generalized semiflow generated by the coupled system has a global attractor, we prove continuity of the solutions ...
Jacson Simsen +2 more
doaj +1 more source
Error Exponents for Variable-length Block Codes with Feedback and Cost Constraints [PDF]
, 2006 Variable-length block-coding schemes are investigated for discrete memoryless channels with ideal feedback under cost constraints. Upper and lower bounds are found for the minimum achievable probability of decoding error $P_{e,\min}$ as a function of ...
Gallager, R. G., Nakiboglu, B.
core +4 more sources
Commutators of Hardy-Littlewood operators on p-adic function spaces with variable exponents
Open Mathematics, 2023 In this article, we obtain some sufficient conditions for the boundedness of commutators of pp-adic Hardy-Littlewood operators with symbols in central bounded mean oscillation space and Lipschitz space on the pp-adic function spaces with variable ...
Dung Kieu Huu, Thuy Pham Thi Kim
doaj +1 more source
Hölder Quasicontinuity in Variable Exponent Sobolev Spaces [PDF]
Journal of Inequalities and Applications, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Katja Tuhkanen +2 more
openaire +2 more sources