Results 201 to 210 of about 48,981 (245)

Quaternion Fourier Transform and Generalized Lipschitz Classes

Advances in Applied Clifford Algebras, 2021
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Loualid, El Mehdi, Elgargati, Abdelghani, Daher, Radouan   +2 more
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Lipschitz classes on local fields

Science in China Series A: Mathematics, 2007
The Lipschitz class Lipα on a local field K is defined in this note, and the equivalent relationship between the Lipschitz class Lipα and the Holder type space C α (K) is proved. Then, those important characteristics on the Euclidean space R n and the local field K are compared, so that one may interpret the essential ...
Wei-yi Su, Guo-xiang Chen
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Sharp Estimates for Lipschitz Class

The Journal of Geometric Analysis, 2015
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Discrete Fourier-Jacobi Transform and Generalized Lipschitz Classes

Acta Mathematica Vietnamica, 2022
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El Mehdi Loualid, Abdelghani Elgargati, Radouan Daher   +2 more
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Generalized Lipschitz Classes and Fourier Coefficients

Mathematical Notes, 2004
The author proves several general results. Among others he gives a criterion for a function to belong to the generalized Lipschitz class defined by using moduli of smoothness of positive orders and presents necessary and sufficient conditions for this criterion to hold.
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α-Bloch functions and Lipschitz classes

Acta Mathematica Sinica, English Series, 2012
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Duality for General Lipschitz Classes and Applications

Proceedings of the London Mathematical Society, 1997
As shown by the author in Proc. Am. Math. Soc. 115, 345-352 (1992; Zbl 0768.46012), for every metric space \((K,d)\) with compact closed balls one has \((\text{lip }\varphi(K))^{**}= \text{Lip }\varphi(K)\), where \(\varphi\) is any majorant (i.e., nondecreasing function on \(\mathbb{R}_+\) with \(\varphi(0+)= \varphi(0)=0\) such that \(\varphi(t)/t ...
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Fourier transforms in generalized Lipschitz classes

Proceedings of the Steklov Institute of Mathematics, 2013
We obtain sufficient conditions for the Fourier transform of a function f ∈ L1(ℝ) to belong to generalized Lipschitz classes defined by the modulus of smoothness of order m. The sharpness of these conditions is established in the cases when f(t) ≥ 0 on ℝ or tf (t) ≥ 0 on ℝ.
S. S. Volosivets, B. I. Golubov
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Weak interpolation for the lipschitz class

Mathematica Slovaca, 2017
Abstract We introduce and characterize interpolation sets in a weak sense for the Lipschitz class in the unit disc of the complex plane. Interpolation sets in the classical sense and in a strong sense for this space have already been examined.
Benxamín Macía, Francesc Tugores
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