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Duals of homogeneous weighted sequence Besov spaces and applications
-
Po-Kai Huang
and
Kunchuan Wang
Published/Copyright:
October 11, 2011
Abstract
In this article, we study the duals of homogeneous weighted sequence Besov spaces 
, where the weight w is non-negative and locally integrable. In particular, when 0 < p < 1, we find a type of new sequence spaces which characterize the duals of . Also, we find the necessary and sufficient conditions for the boundedness of diagonal matrices acting on homogeneous weighted sequence Besov spaces. Using these results, we give some applications to characterize the boundedness of Fourier–Haar multipliers and paraproduct operators. In this situation, we need to require that the weight w is an Ap weight.
Keywords.: Almost diagonal; diagonal; dual; double exponent; Fourier–Haar multiplier; paraproduct operator; sequence space; weight
Received: 2010-02-12
Revised: 2010-07-20
Accepted: 2010-08-02
Published Online: 2011-10-11
Published in Print: 2011-December
© de Gruyter 2011
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- Ellipses numbers and geometric measure representations
- Duals of homogeneous weighted sequence Besov spaces and applications
- On positive definite and stationary sequences with respect to polynomial hypergroups
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Keywords for this article
Almost diagonal;
diagonal;
dual;
double exponent;
Fourier–Haar multiplier;
paraproduct operator;
sequence space;
weight
Articles in the same Issue
- Oscillation criteria for a class of third-order nonlinear neutral differential equations
- Ellipses numbers and geometric measure representations
- Duals of homogeneous weighted sequence Besov spaces and applications
- On positive definite and stationary sequences with respect to polynomial hypergroups
- Relative functional entropy in convex analysis
- Damped wave equations with dynamic boundary conditions
- On Nemytskij operator in the space of absolutely continuous set-valued functions
