Boundary value problem of Riemann-Liouville fractional differential equations in the variable exponent Lebesgue spaces Lp(.) [PDF]
, 2022 This manuscript deals with the existence, uniqueness and stability of solutions to the boundary value problem (BVP) of Riemann-Liouville (RL) fractional differential equations (FDEs) in the variable exponent Lebesgue spaces (Lp(.)).
Hashemi, Mir Sajjad +3 more
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On approximation properties of functions by means of Fourier and Faber series in weighted Lebesgue spaces with variable exponent [PDF]
Mathematica Moravica, 2023 In this paper the approximation of functions by linear means of Fourier series in weighted variable exponent Lebesgue spaces was studied. This result was applied to the approximation of the functions by linear means of Faber series in Smirnov classes ...
Jafarov Sadulla Z.
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WEIGHTED VARIABLE EXPONENT LEBESGUE SPACES ON A PROBABILITY SPACE
Journal of Science and Arts, 2023 In this paper, we introduce the weighted variable exponent Lebesgue spaces defined on a probability space and give some information about the martingale theory of these spaces. We first prove several basic inequalities for expectation operators and obtain several norm convergence conditions for martingales in weighted variable exponent Lebesgue spaces.
Aydin, Ismail, Aydin, Demet
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Local Characterizations of Besov and Triebel-Lizorkin Spaces with Variable Exponent
Journal of Function Spaces, 2014 We introduce new Besov and Triebel-Lizorkin spaces with variable integrable exponent, which are different from those introduced by the second author early.
Baohua Dong, Jingshi Xu
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Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces [PDF]
, 2015 We prove optimal integrability results for solutions of the p(x)-Laplace equation in the scale of (weak) Lebesgue spaces. To obtain this, we show that variable exponent Riesz and Wolff potentials map L1 to variable exponent weak Lebesgue ...
P. Hästö +9 more
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Approximation theorems in weighted Lebesgue spaces with variable exponent
Filomat, 2021 In this work, approximation properties of de la Vall?e-Poussin means are investigated in weighted Lebesgue spaces with variable exponent where weight function belongs to Muckenhoupt class. For this purpose direct, inverse and simultaneous theorems of approximation theory are proved and constructive characterizations of functions are ...
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Potential Operators in Variable Exponent Lebesgue Spaces: Two-Weight Estimates
Journal of Inequalities and Applications, 2010 Two-weighted norm estimates with general weights for Hardy-type transforms and potentials in variable exponent Lebesgue spaces defined on quasimetric measure spaces are established.
Vakhtang Kokilashvili +2 more
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Certain results for a class of nonlinear functional spaces
Karpatsʹkì Matematičnì Publìkacìï, 2020 In this article, we study properties of a class of functional spaces, so-called pn-spaces, which arise from investigation of nonlinear differential equations.
K. Soltanov, U. Sert
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Variable exponent Fock spaces [PDF]
, 2020 summary:We introduce variable exponent Fock spaces and study some of their basic properties such as boundedness of evaluation functionals, density of polynomials, boundedness of a Bergman-type projection and duality.
Chacón, Gerardo R., Chacón, Gerardo A.
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On the structure of variable exponent spaces
, 2020 The first part of this paper surveys several results on the lattice structure of variable exponent Lebesgue function spaces (or Nakano spaces) L p(·)(Ω ). In the second part strictly singular and disjointly strictly singular operators between spaces L p(·
Ruiz Bermejo, César +3 more
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