Some remarks an interpolation of operators and Fourier coefficients
Some remarks on a class of weight functions
In this paper we obtain some results about a class of functions , where is an open set of , which are related to the distance function from a fixed subset . We deduce some imbedding theorems in weighted Sobolev spaces, where the weight function is a power of a function .
Some remarks on almost radiality in function spaces
Some Remarks on Inequalities of Landau and Kolmogorov.
Some remarks on Orlicz's interpolation theorem
Some remarks on spaces of Morrey type.
Some remarks on strong approximation by Cesàro means
Some remarks on strong factorization of tent spaces
We provide new assertions on factorization of tent spaces.
Some remarks on strong (M,φ)-summability
Some remarks on subspaces on Orlicz spaces of vector-valued finitely additive functions
Some remarks on symmetric basic sequences in L1
Some remarks on the asymptotic behaviour of the iterates of a bounded linear operator
We discuss the problem of characterizing the possible asymptotic behaviour of the norm of the iterates of a bounded linear operator between two Banach spaces. In particular, given an increasing sequence of positive numbers tending to infinity, we construct Banach spaces such that the norm of the iterates of a suitable multiplication operator between these spaces assumes (or exceeds) the values of this sequence.
Some remarks on the characterization of the space of tangential traces of H(rot; ...) and the construction of an extension operator.
Some remarks on the density of regular mappings in Sobolev classes of SM-valued functions.
Some remarks on the dyadic Rademacher maximal function
Properties of a maximal function for vector-valued martingales were studied by the author in an earlier paper. Restricting here to the dyadic setting, we prove the equivalence between (weighted) inequalities and weak type estimates, and discuss an extension to the case of locally finite Borel measures on ℝⁿ. In addition, to compensate for the lack of an inequality, we derive a suitable BMO estimate. Different dyadic systems in different dimensions are also considered.
Some remarks on the space .
Some remarks on Triebel spaces
Some remarks on ultrapowers and superproperties of the sum and interpolation spaces of Banach spaces
Some remarks on universality properties of
We prove that if is not a Kunen cardinal, then there is a uniform Eberlein compact space K such that the Banach space C(K) does not embed isometrically into . We prove a similar result for isomorphic embeddings. Our arguments are minor modifications of the proofs of analogous results for Corson compacta obtained by S. Todorčević. We also construct a consistent example of a uniform Eberlein compactum whose space of continuous functions embeds isomorphically into , but fails to embed isometrically....
Some remarks on variational problems for functionals with growth