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math.FA2010★ 2 cited
Improved bounds in the scaled Enflo type inequality for Banach spaces
Ohad Giladi, Assaf Naor
It is shown that if (X,||.||_X) is a Banach space with Rademacher type p \ge 1, then for every integer n there exists an even integer m < Cn^{2-1/p}log n (C is an absolute constant…
math.FA2010★ 8 cited
Improved bounds in the metric cotype inequality for Banach spaces
Ohad Giladi, Manor Mendel, Assaf Naor
It is shown that if (X, ||.||_X) is a Banach space with Rademacher cotype q then for every integer n there exists an even integer m< n^{1+1/q}$ such that for every f:Z_m^n --> X we…