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Transference on certain multilinear multiplier operators
 MR1808390 (2002c:42013
"... multilinear multiplier operators ..."
Unboundedness of the ball bilinear multiplier operator
 Nagoya Math. J
"... Abstract. For all n> 1, the characteristic function of the unit ball in R 2n is not the symbol of a bounded bilinear multiplier operator from L p (R n) × L q (R n) to L r (R n) when 1/p + 1/q = 1/r and exactly one of p, q, or r ′ = r/(r − 1) is less than 2. 1. ..."
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Cited by 4 (2 self)
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Abstract. For all n> 1, the characteristic function of the unit ball in R 2n is not the symbol of a bounded bilinear multiplier operator from L p (R n) × L q (R n) to L r (R n) when 1/p + 1/q = 1/r and exactly one of p, q, or r ′ = r/(r − 1) is less than 2. 1.
A multilinear Schur test and multiplier operators
 J. Func. Anal
"... Abstract. A multilinear version of Schur’s test is obtained for products of L p spaces and is used to derive boundedness for multilinear multiplier operators acting on Sobolev and Besov spaces. 1. ..."
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Cited by 8 (4 self)
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Abstract. A multilinear version of Schur’s test is obtained for products of L p spaces and is used to derive boundedness for multilinear multiplier operators acting on Sobolev and Besov spaces. 1.
BEST APPROXIMATION OF THE DUNKL MULTIPLIER OPERATORS Tk,`,m
"... Abstract. We study some class of Dunkl multiplier operators Tk,`,m; and we give for them an application of the theory of reproducing kernels to the Tikhonov regularization, which gives the best approximation of the operators Tk,`,m on a Hilbert spaces H s k`. 1. ..."
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Abstract. We study some class of Dunkl multiplier operators Tk,`,m; and we give for them an application of the theory of reproducing kernels to the Tikhonov regularization, which gives the best approximation of the operators Tk,`,m on a Hilbert spaces H s k`. 1.
THE BICOMMUTANT THEOREM AND pMULTIPLIER OPERATORS FOR THE CIRCLE
"... Abstract. Two classical results concerning normal operators in a Hilbert space are the Fuglede commutativity theorem and von Neumann’s bicommutant theorem. Analogues of these results are established for Fourier multiplier operators acting in Lpspaces of the circle group, for 1 < p < ∞. The a ..."
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Abstract. Two classical results concerning normal operators in a Hilbert space are the Fuglede commutativity theorem and von Neumann’s bicommutant theorem. Analogues of these results are established for Fourier multiplier operators acting in Lpspaces of the circle group, for 1 < p <
BOUNDEDNESS FOR MULTILINEAR OPERATORS OF MULTIPLIER OPERATORS ON TRIEBELLIZORKIN AND LEBESGUE SPACES
 ACTA UNIVERSITATIS APULENSIS NO 20/2009
, 2009
"... The boundedness for the multilinear operators associated to some multiplier operators and the Lipschitz functions on TriebelLizorkin and Lebesgue spaces are obtained. ..."
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The boundedness for the multilinear operators associated to some multiplier operators and the Lipschitz functions on TriebelLizorkin and Lebesgue spaces are obtained.
TRANSFERENCE OF BILINEAR MULTIPLIER OPERATORS On Lorentz Spaces
, 2007
"... Let m(ξ, η) be a bounded continuous function in IR × IR, 0 < pi, qi < ∞ for i = 1,2 and 0 < p3, q3 ≤ ∞ where 1/p1+1/p2 = 1/p3. It is shown that ..."
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Cited by 7 (1 self)
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Let m(ξ, η) be a bounded continuous function in IR × IR, 0 < pi, qi < ∞ for i = 1,2 and 0 < p3, q3 ≤ ∞ where 1/p1+1/p2 = 1/p3. It is shown that
Some Weighted Estimates for Multilinear Fourier Multiplier Operators
"... We first provide a weighted Fourier multiplier theorem for multilinear operators which extends Theorem 1.2 in Fujita and Tomita (2012) by using based Sobolev spaces (1 < ≤ 2). Then, by using a different method, we obtain a result parallel to Theorem 6.2 which is an improvement of Theorem 1.2 un ..."
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We first provide a weighted Fourier multiplier theorem for multilinear operators which extends Theorem 1.2 in Fujita and Tomita (2012) by using based Sobolev spaces (1 < ≤ 2). Then, by using a different method, we obtain a result parallel to Theorem 6.2 which is an improvement of Theorem 1
Results 1  10
of
3,372