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Multiplication Semigroups in Variable Exponent Lebesgue Spaces
MathematicsThis paper studies multiplication operators and their associated strongly continuous semigroups acting on variable exponent Lebesgue spaces. We study the abstract Cauchy problem u˙(t)=Au(t), u(0)=u0, in the space Lp(x)(0,ℓ) with ℓ>0, where the generator ...
Mostafa Bachar, Huda Alrashdi
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Notes on commutator on the variable exponent Lebesgue spaces [PDF]
Czechoslovak Mathematical Journal, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Dinghuai
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On the Boundedness of the Generalized Translation Operator on Variable Exponent Lebesgue Spaces
Acta Applicandae Mathematicae, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ismail Ekincioglu +2 more
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Lipschitz Estimates for Fractional Multilinear Singular Integral on Variable Exponent Lebesgue Spaces [PDF]
Abstract and Applied Analysis, 2013 We obtain the Lipschitz boundedness for a class of fractional multilinear operators with rough kernels on variable exponent Lebesgue spaces. Our results generalize the related conclusions on Lebesgue spaces with constant exponent.
Hui-Ling Wu, Jia-Cheng Lan
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On Variable Exponent Amalgam Spaces [PDF]
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 We derive some of the basic properties of weighted variable exponent Lebesgue spaces Lp(.)w (ℝn) and investigate embeddings of these spaces under some conditions.
Aydin İsmail
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Hardy inequality in variable exponent Lebesgue spaces [PDF]
, 2007 We prove the Hardy inequality and a similar inequality for the dual Hardy operator for variable exponent Lebesgue spaces.
Diening, Lars, Samko, Stefan G.
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Estimates of Fractional Integral Operators on Variable Exponent Lebesgue Spaces [PDF]
Journal of Function Spaces, 2016 By some estimates for the variable fractional maximal operator, the authors prove that the fractional integral operator is bounded and satisfies the weak-type inequality on variable exponent Lebesgue spaces.
Canqin Tang, Qing Wu, Jingshi Xu
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Duality of Variable Exponent Triebel-Lizorkin and Besov Spaces [PDF]
Journal of Function Spaces and Applications, 2012 We will prove the duality and reflexivity of variable exponent Triebel-Lizorkin and Besov spaces. It was shown by many authors that variable exponent Triebel-Lizorkin spaces coincide with variable exponent Bessel potential spaces, Sobolev spaces, and ...
Takahiro Noi
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Convolutions and best approximations in variable exponent lebesgue spaces
, 2016 In the variable exponent Lebesgue spaces a convolution is defined and its estimations in the variable exponent Lebesgue spaces by the best approximation numbers are obtained.
Israfilov, Daniyal M., Yırtıcı, Elife
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Lebesgue and Sobolev Spaces with Variable Exponents [PDF]
, 2011 The field of variable exponent function spaces has witnessed an explosive growth in recent years. The standard reference article for basic properties is already 20 years old.
Diening, Lars +3 more
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