Wyniki wyszukiwania

1

On the embedding of 2-concave Orlicz spaces into L¹

100%

Schütt C.

Studia Mathematica

|

1995

|

tom 113

|

nr 1

73-80

EN

In [K-S 1] it was shown that $Ave_π(∑_{i=1}^{n} |x_i a_{π(i)}|^2)^{1/2}$ is equivalent to an Orlicz norm whose Orlicz function is 2-concave. Here we give a formula for the sequence $a_1,...,a_n$ so that the above expression is equivalent to a given Orlicz norm.

2

Combinatorial inequalities and subspaces of L₁

64%

Prochno J., Schütt C.

Studia Mathematica

|

2012

|

tom 211

|

nr 1

21-39

EN

Let M₁ and M₂ be N-functions. We establish some combinatorial inequalities and show that the product spaces $ℓⁿ_{M₁}(ℓⁿ_{M₂})$ are uniformly isomorphic to subspaces of L₁ if M₁ and M₂ are "separated" by a function $t^{r}$, 1 < r < 2.

3

Approximation of the Euclidean ball by polytopes

51%

Ludwig M., Schütt C., Werner E.

Studia Mathematica

|

2006

|

tom 173

|

nr 1

1-18

EN

There is a constant c such that for every n ∈ ℕ, there is an Nₙ so that for every N≥ Nₙ there is a polytope P in ℝⁿ with N vertices and $volₙ(B₂ⁿ△ P) ≤ c volₙ(B₂ⁿ)N^{-2/(n-1)}$ where B₂ⁿ denotes the Euclidean unit ball of dimension n.

4

Some combinatorial and probabilistic inequalities and their application to Banach space theory II

51%

Kwapień S., Schütt C.

Studia Mathematica

|

1989-1990

|

tom 95

|

nr 2

141-154

5

Some combinatorial and probabilistic inequalities and their application to Banach space theory

51%

Kwapień S., Schütt C.

Studia Mathematica

|

1985

|

tom 82

|

nr 1

91-106

6

On the Banach-Mazur distance of finite-dimensional symmetric Banach spaces and the hypergeometric distribution

50%

Schütt C.

Studia Mathematica

|

1982

|

tom 72

|

nr 2

109-129

7

On the positive projection constant

26%

Schütt C.

Studia Mathematica

|

1984

|

tom 78

|

nr 2

185-198

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7 Studia Mathematica

7 Schütt C.

2 Kwapień S.

1 Ludwig M.

1 Prochno J.

1 Werner E.

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On the embedding of 2-concave Orlicz spaces into L¹

Combinatorial inequalities and subspaces of L₁

Approximation of the Euclidean ball by polytopes

Some combinatorial and probabilistic inequalities and their application to Banach space theory II

Some combinatorial and probabilistic inequalities and their application to Banach space theory

On the Banach-Mazur distance of finite-dimensional symmetric Banach spaces and the hypergeometric distribution

On the positive projection constant