On -differentiability and difference properties of functions
On L p Space Formed by Real-Valued Partial Functions
This article is the continuation of [31]. We define the set of Lp integrable functions - the set of all partial functions whose absolute value raised to the p-th power is integrable. We show that Lp integrable functions form the Lp space. We also prove Minkowski's inequality, Hölder's inequality and that Lp space is Banach space ([15], [27]).
On lattice homomorphisms on Kothe function spaces.
On Leader's Vp spaces of finitely additive measures.
On limiting embeddings of Besov spaces
We investigate the classical embedding . The sharp asymptotic behaviour as s → 1 of the operator norm of this embedding is found. In particular, our result yields a refinement of the Bourgain, Brezis and Mironescu theorem concerning an analogous problem for the Sobolev-type embedding. We also give a different, elementary proof of the latter theorem.
On linear functionals in Hardy-Orlicz spaces, I
On linear functionals in Hardy-Orlicz spaces, II
On linear functionals in Hardy-Orlicz spaces. III
On Lorentz-Zygmund spaces [Book]
On measure-preserving transformations and doubly stationary symmetric stable processes
In a 1987 paper, Cambanis, Hardin and Weron defined doubly stationary stable processes as those stable processes which have a spectral representation which is itself stationary, and they gave an example of a stationary symmetric stable process which they claimed was not doubly stationary. Here we show that their process actually had a moving average representation, and hence was doubly stationary. We also characterize doubly stationary processes in terms of measure-preserving regular set isomorphisms...
On minimality and lp-complemented subspaces of Orlicz function spaces.
Several properties of the class of minimal Orlicz function spaces LF are described. In particular, an explicitly defined class of non-trivial minimal functions is shown, which provides concrete examples of Orlicz spaces without complemented copies of F-spaces.
On modular sequence spaces
On Modular Spaces over a Field with Valuation.
On Morrey-Besov inequalities
On Musielak-Orlicz spaces isometric to L2 or L∞.
It is proved that a Musielak-Orlicz space LΦ of real valued functions which is isometric to a Hilbert space coincides with L2 up to a weight, that is Φ(u,t) = c(t) u2. Moreover it is shown that any surjective isometry between LΦ and L∞ is a weighted composition operator and a criterion for LΦ to be isometric to L∞ is presented.
On Nemytskii Lipschitzian operator
On nicely smooth Banach spaces.
On non-solid Köthe space of type
On operators factorizable through space
On operators on