Extensions of Lipschitz functions and Grothendieck’s bounded approximation

Schur property on vector-valued Lipschitz-free spaces According to [9], a Banach space X is said to have the Schur property whenever every weakly null sequence is actually a norm

Abstract In this paper, using a generalized translation operator, we obtain an analog of Younis’s Theorem 5.2 in Younis (Int J Math Math Sci 9:301–312, 1986) for the

This lower bound —therefore, the sub-multiplicative inequality— with the following facts: (a) combinational modulus is bounded by the analytical moduli on tangent spaces of X, and

We generalize the Lipschitz constant to Whitney’s functions and prove that any Whitney’s function defined on a non-empty subset of R n extends to a Whitney’s function of domain R n

In this section we show that for standard Gaussian samples the rate functions in the large and moderate deviation principles can be explicitly calculated... For the moderate

First note that, if ^ is the harmonic sheaf on M deter- mined by A, then H has a positive potential. This follows either from the abstract theory of harmonic spaces Loeb [6]) or

But, by the uniform boundedness principle, if the fn converge in this topology, then they must be bounded in the essential supremum norm as functions on (— jc, n). Therefore, they

This lower bound—therefore, the sub-multiplicative inequality—with the following facts: a combinational modulus is bounded by the analytical moduli on tangent spaces of X, and b