子女
发表于 2025-3-28 16:57:46
Convex Functions and Inequalities,important tools in Analysis in general and not only in Convex Analysis. In this chapter we will introduce the notion of convexity in its various formulations, and we give some characterizations of convex functions and a few applications of convexity, namely, some classical inequalities as well as no
暂时别动
发表于 2025-3-28 21:38:41
Lebesgue Sequence Spaceserties of the spaces, e.g., completeness, separability, duality, and embedding. We also examine the validity of Hölder, Minkowski, Hardy, and Hilbert inequality which are related to the aforementioned spaces. Although Lebesgue sequence spaces can be obtained from Lebesgue spaces using a discrete mea
Malaise
发表于 2025-3-28 23:39:05
Lebesgue Spacesh function spaces. In this chapter we will study these spaces and this study will be used in the subsequent chapters. After introducing the space as a normed space, we also obtain denseness results, embedding properties and study the Riesz representation theorem using two different proofs. Weak conv
粉笔
发表于 2025-3-29 04:14:53
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Incisor
发表于 2025-3-29 10:32:08
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有危险
发表于 2025-3-29 14:44:50
Lorentz Spacesaces which depend now on two parameters. Our first task therefore will be to define the Lorentz spaces and derive some of their properties, like completeness, separability, normability, duality among other topics, e.g., Hölder’s type inequality, Lorentz sequence spaces, and the spaces .exp and .log.
objection
发表于 2025-3-29 15:37:14
Nonstandard Lebesgue Spaces., in the modeling of electrorheological fluids, thermorheological fluids, in the study of image processing, in differential equations with nonstandard growth, among others. Thus, naturally, new fine scales of function spaces have been introduced, namely variable exponent spaces and grand spaces. In
抒情短诗
发表于 2025-3-29 22:36:25
Interpolation of Operators The underlying idea is to obtain boundedness of an operator based on the available information in the endpoints. In the first section we will deal with the Riesz-Thorin interpolation theorem, also known as the complex method, and give some applications, viz. Hausdorff-Young inequality and Young’s i
Mere仅仅
发表于 2025-3-30 02:23:04
Maximal Operatorve covering lemmas of Vitali type. After the covering lemmas we will study in some detail the maximal operator in Lebesgue spaces and show the Lebesgue differentiation theorem as well as a Theorem of Cotlar. We introduce and study the class of locally log-Hölder continuous functions in order to show
不幸的人
发表于 2025-3-30 08:02:57
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