Weighted Inequalities In Lorentz And Orlicz Spaces
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| Author | : Vakhtang Kokilashvili |
| Publisher | : World Scientific |
| Total Pages | : 248 |
| Release | : 1991-12-31 |
| Genre | : Mathematics |
| ISBN | : 9814506281 |
This book is intended as a survey of latest results on weighted inequalities in Lorentz, Orlicz spaces and Zygmund classes. During the last few years they have become one of the mostdeveloped offshoots of the theory of the harmonic analysis operators. Up to now there has been no monograph devoted to these questions, the results are mostly scattered in various journals and a part of the book consists of results not published anywhere else. Many of theorems presented have only previously been published in Russian.
| Author | : Vakhtang Mikha?lovich Kokilashvili |
| Publisher | : World Scientific |
| Total Pages | : 250 |
| Release | : 1991 |
| Genre | : Mathematics |
| ISBN | : 9789810206123 |
This book is intended as a survey of latest results on weighted inequalities in Lorentz, Orlicz spaces and Zygmund classes. During the last few years they have become one of the mostdeveloped offshoots of the theory of the harmonic analysis operators. Up to now there has been no monograph devoted to these questions, the results are mostly scattered in various journals and a part of the book consists of results not published anywhere else. Many of theorems presented have only previously been published in Russian.
| Author | : María J. Carro |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 128 |
| Release | : 2007 |
| Genre | : Mathematics |
| ISBN | : 9781470404819 |
The main objective of this work is to bring together two well known and, a priori, unrelated theories dealing with weighted inequalities for the Hardy-Littlewood maximal operator $M$. For this, the authors consider the boundedness of $M$ in the weighted Lorentz space $\Lambdap u(w)$. Two examples are historically relevant as a motivation: If $w=1$, this corresponds to the study of the boundedness of $M$ on $Lp(u)$, which was characterized by B. Muckenhoupt in 1972, and the solution is given by the so called $A p$ weights. The second case is when we take $u=1$. This is a more recent theory, and was completely solved by M.A. Arino and B. Muckenhoupt in 1991. It turns out that the boundedness of $M$ on $\Lambdap(w)$ can be seen to be equivalent to the boundedness of the Hardy operator $A$ restricted to decreasing functions of $Lp(w)$, since the nonincreasing rearrangement of $Mf$ is pointwise equivalent
| Author | : Ioseb Genebashvili |
| Publisher | : CRC Press |
| Total Pages | : 432 |
| Release | : 1997-05-15 |
| Genre | : Mathematics |
| ISBN | : 9780582302952 |
This volume gives an account of the current state of weight theory for integral operators, such as maximal functions, Riesz potential, singular integrals and their generalization in Lorentz and Orlicz spaces. Starting with the crucial concept of a space of homogeneous type, it continues with general criteria for the boundedness of the integral operators considered, then address special settings and applications to classical operators in Euclidean spaces.
| Author | : David Eric Edmunds |
| Publisher | : |
| Total Pages | : 58 |
| Release | : 2002 |
| Genre | : Functions of bounded variation |
| ISBN | : |
| Author | : Lars-erik Persson |
| Publisher | : World Scientific Publishing Company |
| Total Pages | : 480 |
| Release | : 2017-06-16 |
| Genre | : Mathematics |
| ISBN | : 9813140666 |
Inequalities play an important role in almost all branches of mathematics as well as in other areas of science and engineering. This book surveys the present state of the theory of weighted integral inequalities of Hardy type, including modifications concerning Hardy-Steklov operators, and some basic results about Hardy-type inequalities and their limit (Carleman-Knopp type) inequalities. It also describes some rather new areas such as higher order and fractional order Hardy-type inequalities and integral inequalities on the cone of monotone functions, together with some applications and open problems.In this second edition, all chapters in the first edition have been updated with new information. Moreover, a new chapter contains new and complementary information concerning: (a) a convexity approach to prove and explain Hardy-type inequalities; (b) sharp constants; (c) scales of inequalities to characterize Hardy-type inequalities; (d) Hardy-type inequalities in other function spaces; and (e) a number of new open questions.
| Author | : M.M. Rao |
| Publisher | : CRC Press |
| Total Pages | : 496 |
| Release | : 2002-02-08 |
| Genre | : Mathematics |
| ISBN | : 9780203910863 |
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.
| Author | : M. Amélia Bastos |
| Publisher | : Springer |
| Total Pages | : 379 |
| Release | : 2014-05-23 |
| Genre | : Mathematics |
| ISBN | : 303480816X |
This book consists of research papers that cover the scientific areas of the International Workshop on Operator Theory, Operator Algebras and Applications, held in Lisbon in September 2012. The volume particularly focuses on (i) operator theory and harmonic analysis (singular integral operators with shifts; pseudodifferential operators, factorization of almost periodic matrix functions; inequalities; Cauchy type integrals; maximal and singular operators on generalized Orlicz-Morrey spaces; the Riesz potential operator; modification of Hadamard fractional integro-differentiation), (ii) operator algebras (invertibility in groupoid C*-algebras; inner endomorphisms of some semi group, crossed products; C*-algebras generated by mappings which have finite orbits; Folner sequences in operator algebras; arithmetic aspect of C*_r SL(2); C*-algebras of singular integral operators; algebras of operator sequences) and (iii) mathematical physics (operator approach to diffraction from polygonal-conical screens; Poisson geometry of difference Lax operators).
| Author | : L Magalhaes |
| Publisher | : World Scientific |
| Total Pages | : 578 |
| Release | : 1998-04-30 |
| Genre | : |
| ISBN | : 9814545074 |
In this volume, leading experts on differential equations address recent advances in the fields of ordinary differential equations and dynamical systems, partial differential equations and calculus of variations, and their related applications.
| Author | : Jose Garcia-Cuerva |
| Publisher | : CRC Press |
| Total Pages | : 336 |
| Release | : 2018-01-18 |
| Genre | : Mathematics |
| ISBN | : 135108058X |
Contains easy access to four actual and active areas of research in Fourier Analysis and PDE Covers a wide spectrum of topics in present research Provides a complete picture of state-of-the-art methods in the field Contains 200 tables allowing the reader speedy access to precise data
