منابع مشابه
Bounded Mean Oscillation with Orlicz Norms and Duality of Hardy Spaces
then it is still true that ƒ E BMO and (1) holds with A < CA'. In fact, a proof similar to that of [2] shows that (1)' implies (2). If the constant 1/2 in (1)' is replaced by a larger number, the result is no longer true. Let us now assume that the numbers A and A' in (1) resp. (1)' are not uniform but depend on x (but not on Q containing x). We define Mf(x) resp. MQ/(X) as the infîmum of such ...
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Let B be a p-uniformly convex Banach space, with p ≥ 2. Let T be a linear operator on B, and let Anx denote the ergodic average 1 n i<n T n x. We prove the following variational inequality in the case where T is power bounded from above and below: for any increasing sequence (t k) k∈N of natural numbers we have k At k+1 x − At k x p ≤ Cx p , where the constant C depends only on p and the modulu...
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Let L be a divergence form elliptic operator with complex bounded measurable coefficients, ω the positive concave function on (0,∞) of strictly critical lower type pω ∈ (0, 1] and ρ(t) = t /ω(t) for t ∈ (0,∞). In this paper, the authors introduce the generalized VMO spaces VMOρ,L(R) associated with L, and characterize them via tent spaces. As applications, the authors show that (VMOρ,L(R)) = Bω...
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Distance relays are widely used to protect transmission lines. Sometimes, in these lines due to the occurrence of the oscillation of the power, the impedance calculated in the distance relay enters into its functional zones and leads to the cutting off of the lines. This issue can cause global power outages. Accordingly, in this paper, a Clark-based method for detecting the oscillation of power...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1992
ISSN: 0021-9045
DOI: 10.1016/0021-9045(92)90142-b