Theory of orlicz spaces

Webb5 feb. 2024 · This paper is devoted to the studying of the weak Orlicz–Lorentz space $$\Lambda_X^{\varphi, \infty}(w)$$ , which can be regarded as an extension of weak Orlicz ... Levis, F.E.: Weak inequalities for maximal functions in Orlicz-Lorentz spaces and applications. J. Approx. Theory 162, 239–251 (2010) Article MathSciNet Google ... 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 …

Orlicz Space - an overview ScienceDirect Topics

Webb23 mars 2024 · Some recent results on the theory of fractional Orlicz–Sobolev spaces are surveyed. They concern Sobolev type embeddings for these spaces with an optimal … Webb[14, 28] for an introduction to weighted Bergman-Orlicz spaces and to [11, 25] for a discussion about Hardy-Orlicz spaces (on the disc and on the ball); to learn more about the general theory of Orlicz spaces, we refer to [22, 36]. As Aψ α(BN) and Hψ(BN) are continuously embedded into H(BN), some sharp inclusions Aψ α(BN) ⊆ H ∞ v (BN ... chuck will\u0027s widow https://paulkuczynski.com

Orlicz space - Wikipedia

Webb9 jan. 2007 · Abstract In this paper, we establish a regularity theory in the Orlicz space for the Poisson equation −Δ u = f, where f lies in the Orlicz space L^ {\phi} with \phi satisfying Δ 2 and ∇ 2 conditions. The proof is based on standard W 2, p estimates and Hardy–Littlewood maximal functions. Download to read the full article text References WebbThis book presents a systematic treatment of generalized Orlicz spaces (also known as Musielak–Orlicz spaces) with minimal assumptions on the generating Φ-function. It introduces and develops a technique centered on the use of equivalent Φ-functions. WebbThe real-variable theory of function spaces has always been at the core of harmonic analysis. Recently, motivated by certain questions in analysis, some more general … chuck-will\\u0027s-widow caprimulgus carolinensis

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Theory of orlicz spaces

Orlicz space - Wikipedia

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 …

Theory of orlicz spaces

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Webb6 mars 2014 · For an Orlicz function and a decreasing weight , two intrinsic exact descriptions are presented for the norm in the Köthe dual of an Orlicz-Lorentz function space or a sequence space , equipped with either Luxemburg or Amemiya norms. Webb12 apr. 2024 · As two applications of our similarity theorem, first we characterize the intersection of the commutant of multiplication operator M_B on the Dirichlet space setting from the techniques in operator theory combined with matrix manipulations, then we give a sufficient and necessary condition for the similarity of two multiplication operators …

WebbIn this paper, the classical dual mixed volume of star bodies V˜(K1,⋯,Kn) and dual Aleksandrov–Fenchel inequality are extended to the Orlicz space. Under the framework of dual Orlicz-Brunn-Minkowski theory, we put forward a new affine geometric quantity by calculating first order Orlicz variation of the dual mixed volume, and call it Orlicz multiple … Webb9 apr. 2024 · Request PDF On Apr 9, 2024, A Akhlidj and others published Convolution Properties of Orlicz Spaces on the Bessel-Kingman hypergroups Find, read and cite all the research you need on ResearchGate

Webb1 jan. 1989 · Orlicz spaces [14] and the idea of interpolation [11,14] are both extensively applicable to the theory of modular spaces ... Orlicz spaces, and generalized Morrey spaces as special cases. ... WebbObtaining basic results on Orlicz spaces in the literature is not so easy. Indeed, the old seminal textbook by Krasnosel’skii and Rutickii [1] (1961) contains all the fundamental …

Webb31 dec. 1990 · Theory of Orlicz spaces. Malempati M. Rao, Z. D. Ren. 31 Dec 1990 -. TL;DR: A reference/text for mathematicians or students involved in analysis, differential …

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 chuck-will\u0027s-widow caprimulgus carolinensisWebbför 22 timmar sedan · Astronomers find that six of the earliest and most massive galaxy candidates observed by the James Webb Space Telescope so far appear to have … chuck willis songsWebb11 apr. 2024 · Then, according to the rules set out by Einstein's theory of relativity, gravity compressed and heated these plasma pockets so that sound waves — called baryon acoustic oscillations — rippled ... chuck willis song cc riderWebbOrlicz spaces exhibit strong concentration phenomena, inherited from their construction. In particular, they are associated to the sub-Exponential and sub-Gaussian classes of random variables. In this article, we aim to provide a brief introduction to concentration of measure in Orlicz spaces, in particular, Orlicz spaces of exponential type. chuck will\u0027s widow bird callWebbRao, M.M. and Ren, Z.D. (1991) Theory of Orlicz Spaces. Marcel Dekker, New York. has been cited by the following article: TITLE: Remarks on the Harnak Inequality for Local-Minima of Scalar Integral Functionals with General … chuck will\u0027s widow habitatWebbTheory of Orlicz spaces M. Rao, Z. Ren Published 1991 Mathematics A reference/text for mathematicians or students involved in analysis, differential equations, probability … chuck-will\u0027s-widow callWebb8 feb. 2002 · ABSTRACT Presents previously unpublished material on the fundumental pronciples and properties of Orlicz sequence and function spaces. Examines the sample path behavior of stochastic processes. Provides practical applications in statistics and probability. TABLE OF CONTENTS chapter 48 pages Introduction and Background … chuck willison