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Displaying similar documents to “On Hermite expansions of $x^{k}$ and ln|x|”

On the UMD constant of the space $ℓ ₁^{N}$

Adam Osękowski (2016)

Colloquium Mathematicae

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Let N ≥ 2 be a given integer. Suppose that $d f = {(d f ₙ)}_{n \geq 0}$ is a martingale difference sequence with values in $ℓ ₁^{N}$ and let ${(ε ₙ)}_{n \geq 0}$ be a deterministic sequence of signs. The paper contains the proof of the estimate $ℙ (s u p_{n \geq 0} | | \sum_{k = 0}^{n} ε_{k} d f_{k} {| |}_{ℓ ₁^{N}} \geq 1) \leq (l n N + l n (3 l n N)) / (1 - {(2 l n N)}^{- 1}) s u p_{n \geq 0} | | \sum_{k = 0}^{n} d f_{k} {| |}_{ℓ ₁^{N}}$ . It is shown that this result is asymptotically sharp in the sense that the least constant $C_{N}$ in the above estimate satisfies $l i m_{N \to \infty} C_{N} / l n N = 1$ . The novelty in the proof is the explicit verification of the ζ-convexity of the space $ℓ ₁^{N}$ .

On a fixobject property for $l^{c} β$ -semigroupoids

M. Đurić (1973)

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On the surjectivity of the map $T (A) \to T (A_{S})$

Stefania Gabelli (1988)

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A. Makowski (1964)

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Localization techniques in $L^{p}$ spaces

A. Pełczyński, H. Rosenthal (1975)

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The general methods of finding the sum $S_{n}$ for all kinds of series, II

K. Orlov (1981)

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On C $^{*}$ -spaces

P. Srivastava, K. K. Azad (1981)

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$ℵ_{1}$ -incompactness of Z

Ralph McKenzie (1971)

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On a characterization of $L^{p}$ -norm

Janusz Matkowski (1989)

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On the $p^{λ}$ problem

Stephan Baier (2004)

Acta Arithmetica

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The existence of $P (α)$ -points of N* for $ℵ_{0} α < 𝔠$

A. Szymański (1977)

Colloquium Mathematicae

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On the proximate order of $f^{(s)} (z) * g^{(s)} (z)$ and ${[f (z) * g (z)]}^{(s)}$

M. K. Sen (1971)

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Геометрическая теория состояний, граница фон Неймана, двойственность $C^{*}$ -алгерб

А.М. Вершик (1972)

Zapiski naucnych seminarov Leningradskogo

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On spirallike functions of order $α$ and type $β$ with fixed second coefficient

M. K. Aouf (1988)

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Addendum to “On the $p^{λ}$ problem”

Stephan Baier (2005)

Acta Arithmetica

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An application of the method wherein the $p h i$ - and $c h i$ - methods are combined for the determination of the grating constant. [II.]

Swami Jnanananda (1936)

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On a certain property of solution of the equation $u_{t} = u_{x x} + f (x, t, u)$

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Some types of points in $N^{*}$

Gryzlov, A.

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David Grow (1987)

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