Add to ORKGAbstract. 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 McIntosh 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
AbstractAfter initial treatment of the Fourier analysis and operator ergodic theory of strongly cont...
This thesis presents various results within the field of operator theory that are formulated in esti...
We study the multipliers, i.e. the bounded operators commuting with the translations on a space of f...
Let-iA be the generator of a C-0-group (U(s))(s is an element of R) on a Banach space X and omega > ...
Abstract. Let −iA be the generator of a C0-group U on a Banach space X. Via a transference principle...
We prove various extensions of the Coifman-Rubio de Francia-Semmes multiplier theorem to operator-va...
A two-sided sequence (cn)n∈Z with values in a complex unital Banach algebra is a cosine sequence if ...
Let m: Rn! C be a bounded function on the euclidean space Rn and de®ne the operator Tm associated wi...
The properties of a dual space to a space of entire functions of exponential type of manycomplex var...
In this paper we show sharp lower bounds for norms of even homogeneous Fourier multipliers in L(Lp(R...
Abstract. We improve the vector-valued Marcinkiewicz multiplier theorem in a subclass of UMD spaces ...
Abstract. We show that the Davies functional calculus and the AC(ν)-calculus coincide under common h...
The properties of a dual space to a space of entire functionsof expo-nen-tial type of many complex...
Abstract. The notion of R-bounded operator families has proven to be cru-cial to several aspects of ...
Abstract. We prove a Mihlin–type multiplier theorem for operator–valued multiplier functions on UMD–...
AbstractAfter initial treatment of the Fourier analysis and operator ergodic theory of strongly cont...
This thesis presents various results within the field of operator theory that are formulated in esti...
We study the multipliers, i.e. the bounded operators commuting with the translations on a space of f...
Let-iA be the generator of a C-0-group (U(s))(s is an element of R) on a Banach space X and omega > ...
Abstract. Let −iA be the generator of a C0-group U on a Banach space X. Via a transference principle...
We prove various extensions of the Coifman-Rubio de Francia-Semmes multiplier theorem to operator-va...
A two-sided sequence (cn)n∈Z with values in a complex unital Banach algebra is a cosine sequence if ...
Let m: Rn! C be a bounded function on the euclidean space Rn and de®ne the operator Tm associated wi...
The properties of a dual space to a space of entire functions of exponential type of manycomplex var...
In this paper we show sharp lower bounds for norms of even homogeneous Fourier multipliers in L(Lp(R...
Abstract. We improve the vector-valued Marcinkiewicz multiplier theorem in a subclass of UMD spaces ...
Abstract. We show that the Davies functional calculus and the AC(ν)-calculus coincide under common h...
The properties of a dual space to a space of entire functionsof expo-nen-tial type of many complex...
Abstract. The notion of R-bounded operator families has proven to be cru-cial to several aspects of ...
Abstract. We prove a Mihlin–type multiplier theorem for operator–valued multiplier functions on UMD–...
AbstractAfter initial treatment of the Fourier analysis and operator ergodic theory of strongly cont...
This thesis presents various results within the field of operator theory that are formulated in esti...
We study the multipliers, i.e. the bounded operators commuting with the translations on a space of f...