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S. Treil, A. Volberg (1997)
Wavelets and the Angle between Past and FutureJournal of Functional Analysis, 143
(1973)
Wheeden, ‘Weighted norm inequalities for conjugate function and Hilbert transform
(2004)
Matrix - Weighted Besov Spaces and Conditions of A p Type for 0 < p ≤ 1 , Indiana Univ
(2004)
Matrix–weighted Besov spaces and conditions of Ap type for 0 < p 1
(1960)
On embedding and extension theorems for some function classes
(1960)
Besov, On embedding and extension theorems for some function classes (Russian)
(1996)
The Hunt for a Bellman Function: Applications to Estimates for Singular Integral Operators and to Other Classical Problems of Harmonic Analysis, Algebra i Analiz
(2004)
Matrix-Weighted Besov Spaces and Conditions of Ap Type for 0 < p ≤ 1, Indiana
Michael Frazier, B. Jawerth (1990)
A discrete transform and decompositions of distribution spacesJournal of Functional Analysis, 93
(1964)
On the theory of Lipschitz spaces of distributions on Euclidean n-space I
(1960)
Besov, ‘On embedding and extension theorems for some function classes
(1996)
The hunt for a Bellman function: applications to estimates for singular integral operators and to other classical problems of harmonic analysis
(1960)
On embedding and extension theorems for some function classes (Russian)
(1996)
Treil, ‘The hunt for a Bellman function: applications to estimates for singular integral operators and to other classical problems of harmonic analysis
A. Volberg (1997)
Matrix _{} weights via -functionsJournal of the American Mathematical Society, 10
A. Volberg (1997)
MATRIX Ap WEIGHTS VIA S-FUNCTIONS
S. Roudenko (2002)
Matrix-weighted Besov spacesTransactions of the American Mathematical Society, 355
(1983)
Theory of function spaces, Monographs in Mathematics
(1996)
Treil, The Hunt for a Bellman Function: Applications to Estimates for Singular Integral Operators and to Other Classical Problems of Harmonic Analysis, Algebra i Analiz (in Russian
I. Daubechies (1988)
Orthonormal bases of compactly supported waveletsCommunications on Pure and Applied Mathematics, 41
H. Triebel (1983)
Theory Of Function Spaces
Michael Frazier, Björn Werth (2009)
Decomposition of Besov Spaces
R. Hunt, B. Muckenhoupt, R. Wheeden (1973)
Weighted norm inequalities for the conjugate function and Hilbert transformTransactions of the American Mathematical Society, 176
Let V be a matrix weight on ℝn+1 and let W be a matrix weight on ℝn, satisfying, for example, the matrix Ap condition. Define the trace, or restriction, operator Tr by Tr (f)(x′)=f(x′, 0), where x′∈ℝn and f is a function on ℝn+1. If α−1/p>n (1/p−1)++(β−n)/p, where β is the doubling exponent of W, then the trace operator is bounded from B.pαq(V) into B.pα−1/p,q(W) (matrix‐weighted Besov spaces) if and only if the weights V and W uniformly satisfy an estimate controlling the average of ||W1/p(t)y→||p on any dyadic cube I ⊆ ℝn by the average of ||V1/p(t)y→||p on Q(I)=I×[0, ℓ(I)], for all y→. If V and W satisfy the converse inequality, then there exists a continuous linear map Ext : B˙pα−1/p,q(W)→B˙pαq(V). If both inequalities hold, then Tr ○ Ext is the identity on B˙pα−1/p,q(W).
Bulletin of the London Mathematical Society – Wiley
Published: Apr 1, 2008
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