WebbIn memoriam W ladys law Orlicz 1. Although many characteristics of the Lp-spaces, p 1, are shared by all members of the family of Orlicz spaces, interesting di erences between the general and special classes begin to appear very early in the development of the Orlicz theory. One of these di erences involves the Orlicz norm on LM [0;1], Webb[1] and Orlicz in [24], which is widely used in various branches of analysis (see, for example, [25, 26] and their references). Moreover, as a development of the theory of Orlicz spaces, Orlicz-Hardy spaces and their dual spaces were studied by …
Orlicz-Sobolev space - Encyclopedia of Mathematics
WebbAprašymas. Analysis on Function Spaces of Musielak-Orlicz Type provides a state-of-the-art survey on the theory of function spaces of Musielak-Orlicz type. The book also offers readers a step-by-step introduction to the theory of Musielak-Orlicz spaces, and introduces associated function spaces, extending up to the current research on the topic Webb1 juli 2024 · The classical setting of the theory of Orlicz spaces can be found, e.g., in [a19], [a11]; the theory of more general modular spaces goes back to H. Nakano [a16] and it … greater brisbane townhouses sold
Some properties and interpolation theorems in weak Orlicz–Lorentz spaces
Webb16 juli 2024 · The (weak) Musielak–Orlicz Hardy space H φ (ℝ n) (WH φ (ℝ n)) generalizes both the weighted (weak) Hardy space and the (weak) Orlicz Hardy space and hence has wide generality. In this paper, two boundedness criteria for both linear operators and positive sublinear operators from H φ (ℝ n ) to H φ (ℝ n ) or from H φ (ℝ n ) to WH φ (ℝ n … WebbTheory of Orlicz spaces / M.M. Rao, Z.D. Ren. Rao, Malempati Madhusudana, 1929- (författare) Ren, Z. D (författare) ISBN 0824784782 Publicerad: New York : M. Dekker, … Webbity and monotonicity of of Oríicz spaces with Luxexnburg and Or-licz norms are given. The monotone coefficients of a point and of the spaces are computed. The monotonicity and the uniform monotonicity are important prop-erties of Banach lattices. lii 1985, Akcoglu and Sucheston [1) showed how these properties are related to ergodic theory. greater brisbane area what country