Results 1 to 10 of about 72 (71)
AxiomsThis article contains some relations, which include some embedding and transition properties, between the Muckenhoupt classes Mγ;γ>1 and the Gehring classes Gδ;δ>1 of bi-Sobolev weights on a time scale T.
Samir H. Saker +5 more
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EXPONENTIAL APPROXIMATION OF FUNCTIONS IN LEBESGUE SPACES WITH MUCKENHOUPT WEIGHT
Проблемы анализа, 2022 Using a transference result, several inequalities of approximation by entire functions of exponential type in 𝒞(R), the class of bounded uniformly continuous functions defined on R=(-∞,+∞), are extended to the Lebesgue spaces 𝐿^𝑝(𝜚𝑑𝑥) 1 ...
R. Akgun
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Weighted Central BMO Spaces and Their Applications
Journal of Function Spaces, 2021 In this paper, the central BMO spaces with Muckenhoupt Ap weight is introduced. As an application, we characterize these spaces by the boundedness of commutators of Hardy operator and its dual operator on weighted Lebesgue spaces.
Huan Zhao, Zongguang Liu
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Some examples of equivalent rearrangement‐invariant quasi‐norms defined via f∗$f^*$ or f∗∗$f^{**}$
Mathematische Nachrichten, Volume 296, Issue 5, Page 1781-1802, May 2023., 2023 Abstract We consider Lorentz–Karamata spaces, small and grand Lorentz–Karamata spaces, and the so‐called L$\mathcal {L}$, R$\mathcal {R}$, LL$\mathcal {LL}$, LR$\mathcal {LR}$, RL$\mathcal {RL}$, and RR$\mathcal {RR}$ spaces. The quasi‐norms for a function f in each of these spaces can be defined via the nonincreasing rearrangement f∗$f^*$ or via the ...
Leo R. Ya. Doktorski +2 more
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On the trace embedding and its applications to evolution equations
Mathematische Nachrichten, Volume 296, Issue 4, Page 1319-1350, April 2023., 2023 Abstract In this paper, we consider traces at initial times for functions with mixed time‐space smoothness. Such results are often needed in the theory of evolution equations. Our result extends and unifies many previous results. Our main improvement is that we can allow general interpolation couples.
Antonio Agresti +2 more
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Mathematical Methods in the Applied Sciences, Volume 46, Issue 1, Page 1178-1184, 15 January 2023., 2023 In this paper, we discuss the study of some signal processing problems within Bayesian frameworks and semigroups theory, in the case where the Banach space under consideration may be nonseparable. For applications, the suggested approach may be of interest in situations where approximation in the norm of the space is not possible.
Natasha Samko, Harpal Singh
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Traces of some weighted function spaces and related non‐standard real interpolation of Besov spaces
Mathematische Nachrichten, Volume 295, Issue 9, Page 1669-1689, September 2022., 2022 Abstract We study traces of weighted Triebel–Lizorkin spaces Fp,qs(Rn,w)$F^s_{p,q}(\mathbb {R}^n,w)$ on hyperplanes Rn−k$\mathbb {R}^{n-k}$, where the weight is of Muckenhoupt type. We concentrate on the example weight wα(x)=|xn|α$w_\alpha (x) = {\big\vert x_n\big\vert }^\alpha$ when |xn|≤1$\big\vert x_n\big\vert \le 1$, x∈Rn$x\in \mathbb {R}^n$, and ...
Blanca F. Besoy +2 more
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Open Mathematics, 2021 If vector-valued sublinear operators satisfy the size condition and the vector-valued inequality on weighted Lebesgue spaces with variable exponent, then we obtain their boundedness on weighted Herz-Morrey spaces with variable exponents.
Wang Shengrong, Xu Jingshi
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Dyadic product BMO in the Bloom setting
Journal of the London Mathematical Society, Volume 106, Issue 2, Page 899-935, September 2022., 2022 Abstract Ó. Blasco and S. Pott showed that the supremum of operator norms over L2$L^2$ of all bicommutators (with the same symbol) of one‐parameter Haar multipliers dominates the biparameter dyadic product BMO norm of the symbol itself. In the present work we extend this result to the Bloom setting, and to any exponent 1
Spyridon Kakaroumpas +1 more
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Weighted W1, p (·)-Regularity for Degenerate Elliptic Equations in Reifenberg Domains
Advances in Nonlinear Analysis, 2021 Let w be a Muckenhoupt A2(ℝn) weight and Ω a bounded Reifenberg flat domain in ℝn. Assume that p (·):Ω → (1, ∞) is a variable exponent satisfying the log-Hölder continuous condition.
Zhang Junqiang, Yang Dachun, Yang Sibei
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