Probabilistic Behavior of Harmonic FunctionsBirkhäuser Verlag, 1999 - 204 pagini |
Din interiorul cărții
Rezultatele 1 - 3 din 8
Pagina 25
... Cauchy - Riemann equations ( or generalized or Stein - Weiss Cauchy - Riemann Ouk for every j and k . n equations ) if Σ = 0 dx ; auj = = 0 and = duj док dxj If we consider the matrix M = [ ] , j , k = 0 , ... , n , the definition ...
... Cauchy - Riemann equations ( or generalized or Stein - Weiss Cauchy - Riemann Ouk for every j and k . n equations ) if Σ = 0 dx ; auj = = 0 and = duj док dxj If we consider the matrix M = [ ] , j , k = 0 , ... , n , the definition ...
Pagina 40
... Cauchy - Riemann equations imply g ( u ) = g ( F ) . Thus , Littlewood and Paley's results show that on the disk , || g ( ƒ ) || p ≈ || f || p , 1 < p < ∞ . n Later , T.M. Flett [ F1 ] gave a partial extension of one of Littlewood and ...
... Cauchy - Riemann equations imply g ( u ) = g ( F ) . Thus , Littlewood and Paley's results show that on the disk , || g ( ƒ ) || p ≈ || f || p , 1 < p < ∞ . n Later , T.M. Flett [ F1 ] gave a partial extension of one of Littlewood and ...
Pagina 200
... Cauchy - Riemann equations , 2 , 40 Cauchy - Riemann equations , generalized , see Generalized Cauchy - Riemann equations , Stein - Weiss system of conjugate functions Central limit theorem for lacunary series , 175 Change of variables ...
... Cauchy - Riemann equations , 2 , 40 Cauchy - Riemann equations , generalized , see Generalized Cauchy - Riemann equations , Stein - Weiss system of conjugate functions Central limit theorem for lacunary series , 175 Change of variables ...
Cuprins
Preface | 1 |
Sharp Goodλ Inequalities for A and | 94 |
GoodA Inequalities for the Density of the Area Integral | 135 |
Drept de autor | |
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Probabilistic Behavior of Harmonic Functions Rodrigo Banuelos,Charles N. Moore Previzualizare limitată - 1999 |
Probabilistic Behavior of Harmonic Functions Rodrigo Banuelos,Charles N. Moore Nu există previzualizare disponibilă - 2012 |
Termeni și expresii frecvente
Aau(x Alu(x analogue apply Green's theorem area integral Bañuelos Bloch functions Brossard Brownian motion Burkholder C.N. Moore C1 and C2 C₁ exp C₂ Calderón caloric functions Cauchy-Riemann equations Chapter completes the proof cone consider constants C1 Dau(x define denote density depending Dhu(x Dirichlet problem dsdt Du(x Dwu(x dyadic martingales exists a constant Fefferman follows good-A inequalities Green's theorem Hardcover harmonic functions implies ISBN iterated logarithm K₁ Key Estimate L¹(R lacunary series Lebesgue measure LIL's lim sup lim sup P↑1 Lipschitz constant Lipschitz domains log log Lusin area function Marcinkiewicz martingale measure Nau(x nontangential limit nontangential maximal function notation Note numbers obtain Poisson kernel proof of Lemma proof of Theorem Proposition prove R+¹ random variables result Riesz satisfies sidelength square function Suppose Vu(s zero Zygmund ди