WebFor scalar-valued multipliers, this improves the theorem of Girardi and Weis (J. Funct. Anal., 2003), who required similar assumptions for derivatives up to the order n/r +1, wherer ≤ min(t,q)isaFourier-type of X. However, the present method does not apply to operator-valued multipliers, which are also covered by the Girardi–Weis theorem. 1 ... WebIn this paper we characterize Hankel operatorsH f andH f on the Bergman spaces of bounded symmetric domains which are in the Schatten p-class for 2≤p<∞ and f inL 2 using a Jordan algebra characterization of bounded symmetric domains and properties of the Bergman metric.
The Hörmander multiplier theorem for n -linear operators
WebIn Fourier analysis, a multiplier operator is a type of linear operator, or transformation of functions. These operators act on a function by altering its Fourier transform. … Web11 mrt. 2024 · 1.Multipliers In this section, we keep talk about the convergence property and norm estimate of convolution operator. In last section, we know some convolution operator can not be defined as usual Lebesgue integral … discount code for madd
Lp-Lq multipliers on locally compact groups - Universiteit Gent
Web3 mrt. 2024 · We discuss Lp(Rn) L p ( R n) boundedness for Fourier multiplier operators that satisfy the hypotheses of the Hörmander multiplier theorem in terms of an optimal condition that relates the … Web1 nov. 2024 · This multi-parameter Hörmander multiplier theorem is in the spirit of the earlier work of Baernstein and Sawyer in the one-parameter setting and sharpens … Webmultipliers are detailed. The starting point is a quick tour of singular integral theory, leading into the Mikhlin multiplier theorem. An important application to Littlewood-Paley theory and a proof C. Fe erman’s ball multiplier theorem is presented. Contents 1. Introduction 1 2. Calder on-Zygmund Operators 2 3. The Mikhlin Multiplier Theorem ... discount code for london zoo tickets