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T1 - The Sharp Square Function Estimate with Matrix Weight
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UR - http://hdl.handle.net/10138/312348
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A1 - Hytonen, Tuomas; Petermichl, Stefanie; Volberg, Alexander
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Y1 - 2019
LA - eng
AB - We prove the matrix A(2) conjecture for the dyadic square function, that is, an estimate of the form vertical bar vertical bar S-w vertical bar vertical bar(L2cd(w)-> Lr2) less than or similar to [W](A2), where the focus is on the sharp linear dependence on the matrix A(2) constant. Moreover, we give a mixed estimate in terms of A(2) and A(infinity) constants. The key to the proof is a sparse domination of a process inspired by the integrated form of the matrix-weighted square function....
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KW - HILBERT TRANSFORM; INEQUALITY; OPERATOR; BOUNDS; NORM; 111 Mathematics
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