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A characterization of Triebel–Lizorkin spaces and Besov spaces by BMO families expansion
Veröffentlicht/Copyright:
1. Dezember 2012
Abstract.
P. Tchamitchian has constructed an atomic decomposition of the real Hardy space 
with Lp-atoms (
) by rearrangements of wavelet expansion.
In this paper, we give a characterization of Triebel–Lizorkin spaces 
and
Besov spaces 
by a BMO family expansion by applying the arguments above.
Received: 2011-08-26
Published Online: 2012-12-01
Published in Print: 2012-12-01
© 2012 by Walter de Gruyter Berlin Boston
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Artikel in diesem Heft
- Masthead
- Periodic points of T-Ciric generalized contraction mappings in ordered metric spaces
- Refined estimates of trigonometric approximation for functions with generalized derivatives in weighted variable exponent Lebesgue spaces
- On the spectral (co)homology exact sequences of maps
- Sufficient conditions for the univalence and quasiconformal extensions of meromorphic functions
- On the limit set maps in semidynamical systems
- About stabilization by feedback control in integral form
- On approximation by trigonometric polynomials in Orlicz spaces
- Some topologic-geometrical properties of external bisectors of a triangle
- Oscillations of chirp-like functions
- Multipliers and tensor products of the weighted Lorentz spaces ΛGp,q(w)
- A characterization of Triebel–Lizorkin spaces and Besov spaces by BMO families expansion
- Integral representations and multipliers of inclusion in some spaces of analytic functions
- Erratum Proof of the Zalcman conjecture for initial coefficients [Georgian Math. J. 17 (2010), 663–681]
