On square functions associated to sectorial operators
نویسندگان
چکیده
منابع مشابه
Classes of admissible functions associated with certain integral operators applied to meromorphic functions
In the present paper, by making use of the differential subordination and superordination results of Miller and Mocanu, certain classes of admissible functions are determined so that subordination as well as superordination implications of functions associated with an integral operator hold. Additionally, differential sandwich-type result is obtained.
متن کاملSquare Functions and Maximal Operators Associated with Radial Fourier Multipliers
where (Pt)t>0 is an approximation of the identity defined by the dilates of a ‘nice’ kernel (for example (Pt) may be the Poisson or the heat semigroup). Their significance in harmonic analysis, and many important variants and generalizations have been discussed in Stein’s monographs [38], [39], [44], in the survey [45] by Stein and Wainger, and in the historical article [43]. Here we focus on L...
متن کاملSectorial Operators and Interpolation Theory
We present a survey of recent applications of interpolation ideas in the study of sectorial operators.
متن کاملclasses of admissible functions associated with certain integral operators applied to meromorphic functions
in the present paper, by making use of the differential subordination and superordination results of miller and mocanu, certain classes of admissible functions are determined so that subordination as well as superordination implications of functions associated with an integral operator hold. additionally, differential sandwich-type result is obtained.
متن کاملREAL INTERPOLATION OF DOMAINS OF SECTORIAL OPERATORS ON Lp-SPACES
Let A be a sectorial operator on a non-atomic Lp-space, 1 ≤ p < ∞, whose resolvent consists of integral operators, or more generally, has a diffuse representation. Then the fractional domain spaces D(Aα) for α ∈ (0, 1) do not coincide with the real interpolation spaces of (Lq , D(A)). As a consequence, we obtain that no such operator A has a bounded H∞-calculus if p = 1.
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ژورنال
عنوان ژورنال: Bulletin de la Société mathématique de France
سال: 2004
ISSN: 0037-9484,2102-622X
DOI: 10.24033/bsmf.2462