Results 21 to 30 of about 3,185,169 (199)
Nonlinear elliptic systems with variable exponents and measure data
Moroccan Journal of Pure and Applied Analysis, 2015 In this paper we prove existence results for distributional solutions of nonlinear elliptic systems with a measure data. The functional setting involves Lebesgue-Sobolev spaces as well as weak Lebesgue (Marcinkiewicz) spaces with variable exponents W01,p(
Bendahmane Mostafa, Mokhtari Fares
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Journal of Function Spaces, 2020 This paper is devoted to the maximal regularity of sectorial operators in Lebesgue spaces Lp⋅ with a variable exponent. By extending the boundedness of singular integral operators in variable Lebesgue spaces from scalar type to abstract-valued type, the ...
Qinghua Zhang, Yueping Zhu, Feng Wang
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Duality of Variable Exponent Triebel-Lizorkin and Besov Spaces
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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Journal of Inequalities and Applications, 2017 In this paper, the authors establish the sharp maximal estimates for the multilinear iterated commutators generated by B M O $BMO$ functions and multilinear singular integral operators with generalized kernels.
Yan Lin, Nan Zhang
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On Holder’s Inequality in Lebesgue Spaces with Variable Order of Summability
Современная математика: Фундаментальные направления, 2021 In this paper, we introduce a new version of the definition of a quasi-norm (in particular, a norm) in Lebesgue spaces with variable order of summability.
V. I. Burenkov, T. V. Tararykova
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Approximation by Zygmund means in variable exponent Lebesque spaces [PDF]
Mathematica Moravica, 2019 In the present work we investigate the approximation of the functions by the Zygmund means in variable exponent Lebesgue spaces. Here the estimate which is obtained depends on sequence of the best approximation in Lebesgue spaces with variable exponent ...
Jafarov Sadulla Z.
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Fractional Sobolev spaces with variable exponents and fractional $p(x)$-Laplacians
Electronic Journal of Qualitative Theory of Differential Equations, 2017 In this article we extend the Sobolev spaces with variable exponents to include the fractional case, and we prove a compact embedding theorem of these spaces into variable exponent Lebesgue spaces.
Uriel Kaufmann, Julio Rossi, Raul Vidal
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Local Muckenhoupt class for variable exponents
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 Forecasting, EarlyView.ABSTRACT This paper presents a method for forecasting limit order book durations using a self‐exciting flexible residual point process. High‐frequency events in modern exchanges exhibit heavy‐tailed interarrival times, posing a significant challenge for accurate prediction.
Kyungsub Lee
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Relatively compact sets in variable-exponent Lebesgue spaces
, 2020 We study totally bounded sets in variable Lebesgue spaces. The full characterization of this kind of sets is given for the case of variable Lebesgue space on metric measure spaces.
Górka P.L., Bandaliyev R.
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