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Inequalities for integral operators in Hölder–Morrey spaces on differential forms
Journal of Inequalities and Applications, 2023 The Hölder–Morrey spaces Λ κ p , τ ( Ω , ∧ l ) $\Lambda _{\kappa}^{p,\tau}(\Omega ,\wedge ^{l})$ are proposed in this paper. The imbedding inequalities for homotopy operator are derived in Hölder–Morrey spaces on differential forms. The Hölder continuity
Xuexin Li, Jianwei Wang, Ning Pan
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New interpolation spaces and strict Hölder regularity for fractional abstract Cauchy problem
Boundary Value Problems, 2021 We know that interpolation spaces in terms of analytic semigroup have a significant role into the study of strict Hölder regularity of solutions of classical abstract Cauchy problem (ACP).
Md Mansur Alam +2 more
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On Strong Approximation in Generalized Hölder and Zygmund Spaces
Computer Sciences & Mathematics Forum, 2023 The strong approximation of a function is a useful tool to analyze the convergence of its Fourier series. It is based on the summability techniques. However, unlike matrix summability methods, it uses non-linear methods to derive an auxiliary sequence ...
Birendra Singh, Uaday Singh
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Karpatsʹkì Matematičnì Publìkacìï, 2019 In weighted Hölder spaces it is studied the smoothness of integrals, which have the structure and properties of derivatives of volume potentials which generated by fundamental solutions of the Cauchy problem for one ultraparabolic arbitrary order ...
V.S. Dron' +2 more
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Matriceal Lebesgue spaces and Hölder inequality
Journal of Function Spaces and Applications, 2005 We introduce a class of spaces of infinite matrices similar to the class of Lebesgue spaces Lp(T), 1≤p≤∞, and we prove matriceal versions of Hölder inequality.
Sorina Barza +2 more
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Generalized Pointwise Hölder Spaces Defined via Admissible Sequences
Journal of Function Spaces, 2018 We introduce in this paper a generalization of the pointwise Hölder spaces. We give alternative definitions of these spaces, look at their relationship with the wavelets, and introduce a notion of generalized Hölder exponent.
Damien Kreit, Samuel Nicolay
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A note on fractional integral operators on Herz spaces with variable exponent
Journal of Inequalities and Applications, 2016 In this note, we prove that the fractional integral operators from Herz spaces with variable exponent K ˙ p ( ⋅ ) , q α $\dot{K}^{\alpha}_{p(\cdot), q}$ to Lipschitz-type spaces are bounded provided p ( ⋅ ) $p(\cdot)$ is locally log-Hölder continuous and
Meng Qu, Jie Wang
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Moroccan Journal of Pure and Applied Analysis, 2017 In this paper, we give a priori estimates near the boundary for solutions of a degenerate elliptic problems in the general Besov-type spaces Bp,qs,τ$B_{p,q}^{s,\tau }$, containing as special cases: Goldberg space bmo, local Morrey-Campanato spaces l2,λ ...
El Baraka Azzeddine, Masrour Mohammed
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Intrinsic fractional Taylor formula
Bruno Pini Mathematical Analysis Seminar, 2022 We consider a class of non-local ultraparabolic Kolmogorov operators and a suitable fractional Holder spaces that take into account the intrinsic sub-riemannian geometry induced by the operators.
Maria Manfredini
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Hölder norm estimate for the fractal Hilbert transform in Douglis analysis
Journal of Inequalities and Applications, 2017 The main goal of this paper is to estimate the Hölder norm of a fractal version of the Hilbert transform in the Douglis analysis context acting from Hölder spaces of Douglis algebra valued functions defined on h-summable curves.
Yudier Peña Pérez +3 more
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