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The wavelet type systems

Barbara Wolnik (2006)

Banach Center Publications

We consider biorthogonal systems of functions on the interval [0,1] or 𝕋 which have the same dyadic scaled estimates as wavelets. We present properties and examples of these systems.

[unknown]

G. Kyriazis (1998)

Studia Mathematica

We study smoothness spaces generated by maximal functions related to the local approximation errors of integral operators. It turns out that in certain cases these smoothness classes coincide with the spaces C p α ( d ) , 0 < p≤∞, introduced by DeVore and Sharpley [DS] by means of the so-called sharp maximal functions of Calderón and Scott. As an application we characterize the C p α ( d ) spaces in terms of the coefficients of wavelet decompositions.

Weighted Sobolev-Lieb-Thirring inequalities.

Kazuya Tachizawa (2005)

Revista Matemática Iberoamericana

We give a weighted version of the Sobolev-Lieb-Thirring inequality for suborthonormal functions. In the proof of our result we use phi-transform of Frazier-Jawerth.

Weil Multipliers.

L. Auslander, F. Geshwind, F. Warner (1995)

The journal of Fourier analysis and applications [[Elektronische Ressource]]

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