Results 1 - 10 of 103

STOCHASTIC INTEGRATION IN UMD SPACES

by Jan Van Neerven
"... Building upon previous work by Rosinski and Suchanecki [8] and Brzezniak and the author [1], a systematic theory of stochastic integration for Banach space-valued functions with respect to Brownian motions has been constructed in [7] using a recent idea of Kalton and Weis to study vector-valued func ..."
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-valued functions through certain operator-theoretic properties of the associated integral operators [4]. In the work presented here, the results of [7] are extended to a theory of stochastic integration for stochastic processes taking values in a UMD space. Let ( n) be a sequence of independent standard Gaussian

equations in UMD spaces and applications

by Valentin Keyantuo, Carlos Lizama , 2008
"... characterization of periodic solutions for time-fractional differential ..."
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characterization of periodic solutions for time-fractional differential

On the inversion of the Laplace transform for resolvent families in UMD spaces

by Ioana Cioranescu, Carlos Lizama - THE COMPLEX INVERSION FORMULA REVISITED 9 , 2003
"... Abstract. We analize the inversion of the Laplace transform in UMD- spaces for resolvent families associated to an integral Volterra equation of convolution type. 1. ..."
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Abstract. We analize the inversion of the Laplace transform in UMD- spaces for resolvent families associated to an integral Volterra equation of convolution type. 1.

THE GROUP REDUCTION FOR BOUNDED COSINE FUNCTIONS ON UMD SPACES

by Markus Haase , 709
"... Abstract. It is shown that if A generates a bounded cosine operator function on a UMD space X, then i(−A) 1/2 generates a bounded C0-group. The proof uses a transference principle for cosine functions. 1. ..."
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Abstract. It is shown that if A generates a bounded cosine operator function on a UMD space X, then i(−A) 1/2 generates a bounded C0-group. The proof uses a transference principle for cosine functions. 1.

Periodic Solutions in UMD Spaces for Some Neutral Partial Functional Differential Equations

by Rachid Bahloul , Khalil Ezzinbi , Omar Sidki , 2016
"... Abstract The aim of this work is to study the existence of a periodic solution for some neutral partial functional differential equations. Our approach is based on the R-boundedness of linear operators L p -multipliers and UMD-spaces. ..."
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Abstract The aim of this work is to study the existence of a periodic solution for some neutral partial functional differential equations. Our approach is based on the R-boundedness of linear operators L p -multipliers and UMD-spaces.

ON OPERATOR-VALUED COSINE SEQUENCES ON UMD SPACES

by Wojciech Chojnacki
"... A two-sided sequence (cn)n∈Z with values in a complex unital Banach algebra is a cosine sequence if it satisfies cn+m + cn−m = 2cncm for any n, m ∈ Z with c0 equal to the unity of the algebra. A cosine sequence (cn)n∈Z is bounded if supn∈Z ‖cn ‖ < ∞. A (bounded) group decomposition for a cosine s ..."
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group decomposition. Here it is shown that if X is a complex UMD Banach space and, with L (X) denoting the algebra of all bounded linear operators on X, if c is an L (X)-valued bounded cosine sequence, then the standard group decomposition of c is bounded. 1.

A transference principle for general groups and functional calculus on UMD spaces

by Markus Haase - In preparation , 2006
"... Abstract. Let −iA be the generator of a C0-group (U(s)s∈R) on a Banach space X, and ω> θ(U). We prove a transference principle that allows to estimate ‖f(A) ‖ in terms of the Lp(R;X)-Fourier multiplier norm of f( · ± iω). If X is a Hilbert space this yields new proofs of important results of McI ..."
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Intosh and Boyadzhiev-de Laubenfels. If X is a UMD space, one obtains a bounded H∞1-calculus of A on horizontal strips. Analogous results for sectorial and parabola-type operators follow. Finally we prove that each generator of a cosine function has bounded H∞-calculus on sectors. 1.

A NOTE ON UMD SPACES AND TRANSFERENCE IN VECTOR-VALUED FUNCTION SPACES

by Nakhlé H. Asmar, Brian P. Kelly, Stephen Montgomery-smith , 1999
"... Abstract. A Banach space X is called an HT space if the Hilbert transform is bounded from Lp (X) into Lp (X), where 1 < p < ∞. We introduce the notion of an ACF Banach space, that is, a Banach space X for which we have an abstract M. Riesz Theorem for conjugate functions in Lp (X), 1 < p &l ..."
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Abstract. A Banach space X is called an HT space if the Hilbert transform is bounded from Lp (X) into Lp (X), where 1 < p < ∞. We introduce the notion of an ACF Banach space, that is, a Banach space X for which we have an abstract M. Riesz Theorem for conjugate functions in Lp (X), 1 < p

Square functions in the Hermite setting for functions with values in UMD spaces

by J. J. Betancor, A. J. Castro, J. Curbelo, J. C. Fariña, L. Rodríguez-mesa
"... ar ..."
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Square functions and spectral multipliers for Bessel operators in UMD spaces, preprint

by Jorge J. Betancor, Alejandro J. Castro, L. Rodríguez-mesa , 2013
"... Abstract. In this paper we consider square functions (also called Littlewood-Paley g-functions) associated to Hankel convolutions acting on functions in the Bochner Lebesgue space Lp((0,∞),B), where B is a UMD Banach space. As special cases we study square functions defined by frac-tional derivative ..."
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Abstract. In this paper we consider square functions (also called Littlewood-Paley g-functions) associated to Hankel convolutions acting on functions in the Bochner Lebesgue space Lp((0,∞),B), where B is a UMD Banach space. As special cases we study square functions defined by frac
Results 1 - 10 of 103