Escape Rates for a Conditioned 2-dimensional Brownian Motion and Recurrence Results for Analytic Zygmund Functions with Applications |
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Results 1-3 of 4
Page ii
... inside the unit disk to the derivative of its extension inside the disk . The result allows the extension of an earlier result on the singularity of spectral measures for multiplication operators on L2 by nondifferentiable real ...
... inside the unit disk to the derivative of its extension inside the disk . The result allows the extension of an earlier result on the singularity of spectral measures for multiplication operators on L2 by nondifferentiable real ...
Page 4
... unit disk . The test , which is proven in Chapter 2 , is Theorem 2.1 The conditional probability P ( || B ( t ) ... inside the unit disk . Proposition 4.3 There exists a constant K such that , 4.
... unit disk . The test , which is proven in Chapter 2 , is Theorem 2.1 The conditional probability P ( || B ( t ) ... inside the unit disk . Proposition 4.3 There exists a constant K such that , 4.
Page 34
... inside the unit disk . This inequality , which I established independently , also appears in Makarov ( Lemma 1.4 [ 21 ] . ) The proof below differs from Makarov's and is based on the following lemmas which provide geometric insight into ...
... inside the unit disk . This inequality , which I established independently , also appears in Makarov ( Lemma 1.4 [ 21 ] . ) The proof below differs from Makarov's and is based on the following lemmas which provide geometric insight into ...
Contents
Escape Rates for a Conditioned 2Dimensional Brownian | 8 |
An Application to A | 21 |
Recurrence Properties for Nondifferentiable Functions in | 33 |
1 other sections not shown
Common terms and phrases
2-dimensional Brownian motion A-functions a.e. non-differentiable absolutely continuous Analytic Functions Anderson and Pitt Bloch function Bloch space Borel-Cantelli theorem Brownian motion conditioned C¹(T Chapter complex-valued construct continuous functions dE(z denote difference quotient dimensional e¹º eiº escape rate exists F(ei F(eiº f(reia given So(w graph of ƒ hits IN(k inside the unit integral test interval irregular 1-set J.M.Anderson and L.D.Pitt K2 log lacunary series Lebesgue measure left side Lemma lim inf linear Hausdorff measure log f(ee log ƒ(ee³+¹ log x log logr log logx logy m₁(K m₁(Z Math measure functions multiplication operators o-finite linear Hausdorff P₂ probability measure Proof Proposition 4.3 Q(An QT X(t radial random walk rate to infinity real function recurrence results satisfying scale function Sn(w spectral measure Spectral Theory Stoltz angle sup z,h Theorem 5.3 transition density unit disk upper bound