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Discrete decompositions for bilinear operators and almost diagonal conditions
 TRANS. AMER. MATH. SOC
, 1998
"... Using discrete decomposition techniques,bilinear operators are naturally associated with trilinear tensors. An intrinsic size condition on the entries of such tensors is introduced and is used to prove boundedness for the corresponding bilinear operators on several products of function spaces. This ..."
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Cited by 15 (6 self)
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Using discrete decomposition techniques,bilinear operators are naturally associated with trilinear tensors. An intrinsic size condition on the entries of such tensors is introduced and is used to prove boundedness for the corresponding bilinear operators on several products of function spaces
Factorization Of Completely Bounded Bilinear Operators And Injectivity
, 1998
"... A completely bounded bilinear operator φ: M × M → M on a von Neumann algebra M is said to have a factorization in M if there exist completely bounded linear operators ψj, θj: M → M such that φ(x, y) = ∑ ψj(x)θj(y), x, y ∈ M, j∈Λ where convergence of the sum is made precise below. The main result of ..."
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Cited by 1 (0 self)
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A completely bounded bilinear operator φ: M × M → M on a von Neumann algebra M is said to have a factorization in M if there exist completely bounded linear operators ψj, θj: M → M such that φ(x, y) = ∑ ψj(x)θj(y), x, y ∈ M, j∈Λ where convergence of the sum is made precise below. The main result
BILINEAR OPERATORS ON HERZTYPE HARDY SPACES
"... The authors prove that bilinear operators given by finite sums of products of CalderónZygmund operators on Rn are bounded from H ˙ K α1,p1 q1 × H ˙ K α2,p2 q2 into H ˙ K α,p q if and only if they have vanishing moments up to a certain order dictated by the target space. Here H ˙ K α,p q are homog ..."
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Cited by 1 (0 self)
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The authors prove that bilinear operators given by finite sums of products of CalderónZygmund operators on Rn are bounded from H ˙ K α1,p1 q1 × H ˙ K α2,p2 q2 into H ˙ K α,p q if and only if they have vanishing moments up to a certain order dictated by the target space. Here H ˙ K α,p q
ON THE BOUNDEDNESS OF BILINEAR OPERATORS ON PRODUCTS OF BESOV AND LEBESGUE SPACES
"... Abstract. We prove mapping properties of the form T: B ˙ α1,q1 p1 × L p2 → B ˙ α2,q2 p3 and T: B ˙ α1,q1 p1 × ˙ B α2,q2 p2 → Lp3, for certain related indices p1, p2, p3, q1, q2, α1, α2 ∈ R, where T is a bilinear HörmanderMihlin multiplier or a molecular paraproduct. Applications to bilinear Little ..."
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Cited by 8 (3 self)
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Abstract. We prove mapping properties of the form T: B ˙ α1,q1 p1 × L p2 → B ˙ α2,q2 p3 and T: B ˙ α1,q1 p1 × ˙ B α2,q2 p2 → Lp3, for certain related indices p1, p2, p3, q1, q2, α1, α2 ∈ R, where T is a bilinear HörmanderMihlin multiplier or a molecular paraproduct. Applications to bilinear
Local estimates and global continuities in Lebesgue spaces for bilinear operators
, 2008
"... In this paper, we first prove some local estimates for bilinear operators (closely related to the bilinear Hilbert transform and similar singular operators) with truncated symbol. Such estimates, in accordance with the Heisenberg uncertainty principle correspond to a description of “offdiagonal ” d ..."
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Cited by 9 (4 self)
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In this paper, we first prove some local estimates for bilinear operators (closely related to the bilinear Hilbert transform and similar singular operators) with truncated symbol. Such estimates, in accordance with the Heisenberg uncertainty principle correspond to a description of “off
Nonperturbative Renormalization of Bilinear Operators with Improved Staggered Quarks
, 2013
"... We present renormalization factors for the bilinear operators obtained using the nonperturbative renormalization method (NPR) in the RIMOM scheme with improved staggered fermions on the MILC asqtad lattices (N f = 2+1). We use the MILC coarse ensembles with 203×64 geometry and am`/ams = 0.01/0.05. ..."
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We present renormalization factors for the bilinear operators obtained using the nonperturbative renormalization method (NPR) in the RIMOM scheme with improved staggered fermions on the MILC asqtad lattices (N f = 2+1). We use the MILC coarse ensembles with 203×64 geometry and am`/ams = 0
WHEN ALL SEPARATELY BAND PRESERVING BILINEAR OPERATORS ARE SYMMETRIC?
, 2007
"... A purely algebraic characterization of universally complete vector lattices in which all separately band preserving bilinear operators are symmetric is obtained: this class consists of universally complete vector lattices with σdistributive Boolean algebra of bands. ..."
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Cited by 1 (1 self)
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A purely algebraic characterization of universally complete vector lattices in which all separately band preserving bilinear operators are symmetric is obtained: this class consists of universally complete vector lattices with σdistributive Boolean algebra of bands.
Local bilinear operators on the lattice and their perturbative renormalisation including
, 1997
"... O(a) effects ..."
Results 11  20
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821