Results 11 to 20 of about 40,631 (154)
Compactness interpolation results for bilinear operators of convolution type and for operators of product type [PDF]
Journal of Approximation Theory, 2022 We establish compactness interpolation results for bilinear operators of convolution type and for operators of product type among quasi-Banach spaces. We do not assume any auxiliary condition on the spaces.
Cobos Díaz, Fernando +2 more
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A Homomorphism Theorem for Bilinear Multipliers [PDF]
, 2012 In this paper we prove an abstract homomorphism theorem for bilinear multipliers in the setting of locally compact Abelian (LCA) groups. We also provide some applications. In particular, we obtain a bilinear abstract version of K.
Rodríguez-López, Salvador
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Real Interpolation of Compact Bilinear Operators
Journal of Fourier Analysis and Applications, 2017 We establish an analog for bilinear operators of the compactness interpolation result for bounded linear operators proved by Cwikel and Cobos, Kühn and Schonbek. We work with the assumption that : (A0+ A1)×(B0+ B1) −→ E0+E1 is bounded, but we also study the case when this does not hold. Applications are given to compactness of convolution operators and
Fernández Cabrera, Luz M. +1 more
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Interpolation of compact bilinear operators among quasi‐Banach spaces and applications [PDF]
Mathematische Nachrichten, 2018 AbstractWe study the interpolation properties of compact bilinear operators by the general real method among quasi‐Banach couples. As an application we show that commutators of Calderón–Zygmund bilinear operators are compact provided that , and .
Cobos Díaz, Fernando +2 more
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Compactness properties of commutators of bilinear fractional integrals [PDF]
, 2015 Commutators of a large class of bilinear operators and multiplication by functions in a certain subspace of the space of functions of bounded mean oscillations are shown to be jointly compact. Under a similar commutation, fractional integral versions of
Bényi, Árpád +3 more
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Characterization of Compactness of the Commutators of Bilinear Fractional Integral Operators [PDF]
Potential Analysis, 2015 The compactness of the commutators of bilinear fractional integral operators and point-wise multiplication, acting on products of Lebesgue spaces, is characterized in terms of appropriate mean oscillation properties of their symbols. The compactness of the commutators when acting on product of weighted Lebesgue spaces is also studied.
Chaffee, Lucas, Torres, Rodolfo H.
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Compact bilinear commutators: the weighted case [PDF]
, 2015 Commutators of bilinear Calderón-Zygmund operators and multiplication by functions in a certain subspace of the space of functions of bounded mean oscillation are shown to be compact on appropriate products of weighted Lebesgue spaces.Simons ...
Benyi, Arpad +3 more
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On the interpolation of the measure of non-compactness of bilinear operators with weak assumptions on the boundedness of the operator [PDF]
Journal of Mathematical Analysis and Applications, 2021 We complete the range of the parameters in the interpolation formula established by Mastyło and Silva for the measure of non-compactness of a bilinear operator interpolated by the real method.
Fernando Cobos +2 more
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Forum Mathematicum, 2022 Abstract Let T be a bilinear Calderón–Zygmund singular integral operator and let T * {T^{*}}
Wang, Shifen, Xue, Qingying
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Weakly compact bilinear operators among real interpolation spaces [PDF]
Journal of Mathematical Analysis and ApplicationsWe show a necessary and sufficient condition for weak compactness of bilinear operators interpolated by the real method. This characterization does not hold for interpolated operators by the complex method.
Fernando Cobos +1 more
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