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- Jan Rozendaal, Mark Veraar
- 2018

In this paper we develop the theory of Fourier multiplier operators Tm : L p(Rd ; X) → Lq(Rd; Y ), for Banach spaces X and Y , 1 ≤ p ≤ q ≤ ∞ and m : Rd → L(X,Y ) an operator-valued symbol. The case p… (More)

We investigate rates of decay for $C_0$-semigroups on Hilbert spaces under assumptions on the resolvent growth of the semigroup generator. Our main results show that one obtains the best possible… (More)

In this article we apply a recently established transference principle in order to obtain the boundedness of certain functional calculi for semigroup generators. In particular, it is proved that if… (More)

- Jan Rozendaal, Mark Veraar
- 2017

In this paper we consider Fourier multiplier operators between vector-valued Besov spaces with different integrability exponents p and q, which depend on the type p and cotype q of the underlying… (More)

- Jan Rozendaal
- 2019

We study the functional calculus properties of generators of $C_{0}$-groups under type and cotype assumptions on the underlying Banach space. In particular, we show the following. Let $-iA$ generate… (More)

- Jan Rozendaal, Mark Veraar
- 2018

Article history: Received 21 November 2017 Accepted 19 June 2018 Available online 3 July 2018 Communicated by Dan Voiculescu MSC: primary 47D06 secondary 34D05, 35B40, 42B15, 46B20

We study functional calculus properties of C0-groups on real interpolation spaces, using transference principles. We obtain interpolation versions of the classical transference principle for bounded… (More)

Let (rn)n∈N be the sequence of subdiagonal Padé approximations of the exponential function. We prove that for −A the generator of a uniformly bounded C0-semigroup T on a Banach space X, the sequence… (More)

We define a scale of Hardy spaces $\mathcal{H}^{p}_{FIO}(\mathbb{R}^{n})$, $p\in[1,\infty]$, that are invariant under suitable Fourier integral operators of order zero. This builds on work by Smith… (More)