2 edition of **Lebesgue and Sobolev Spaces with Variable Exponents** found in the catalog.

- 300 Want to read
- 38 Currently reading

Published
**2011**
by Springer-Verlag Berlin Heidelberg in Berlin, Heidelberg
.

Written in English

- Functional analysis,
- Mathematics,
- Global analysis (Mathematics),
- Partial Differential equations

**Edition Notes**

Statement | by Lars Diening, Petteri Harjulehto, Peter Hästö, Michael Ruzicka |

Series | Lecture Notes in Mathematics -- 2017 |

Contributions | Harjulehto, Petteri, Hästö, Peter, Růžička, Michael, 1964-, SpringerLink (Online service) |

The Physical Object | |
---|---|

Format | [electronic resource] / |

ID Numbers | |

Open Library | OL25544474M |

ISBN 10 | 9783642183621, 9783642183638 |

Density properties for fractional Sobolev spaces with variable exponents Baalal, Azeddine and Berghout, Mohamed, Annals of Functional Analysis, ; Trudinger’s inequality and continuity for Riesz potential of functions in Orlicz spaces of two variable exponents over nondoubling measure spaces Kanemori, Sachihiro, Ohno, Takao, and Shimomura, Tetsu, Kyoto Journal of . In this paper, we study the critical Sobolev embeddings W 1, p (⋅) (Ω) ⊂ L p ⁎ (⋅) (Ω) for variable exponent Sobolev spaces from the point of view of the Γ-convergence. More precisely we determine the Γ-limit of subcritical approximation of the Cited by: 1.

This book provides an accessible introduction to the theory of variable Lebesgue spaces. These spaces generalize the classical Lebesgue spaces by replacing the constant exponent p with a variable exponent p(x). They were introduced in the early s but have become the focus of renewed interest since the early s because of their connection with the calculus of Brand: Springer Basel. Variable Lp() Spaces David V. Cruz-Uribe, SFO Introduction The Space Lp()() Basic Properties Convergence Density & Separability Duality Open Questions References Variable Lebesgue Spaces David V. Cruz-Uribe, SFO Trinity College Summer School and Workshop Harmonic Analysis and Related Topics Lisbon, June , Variable Lp() Spaces David V.

COMMUTATORS FOR THE MAXIMAL FUNCTIONS ON LEBESGUE SPACES WITH VARIABLE EXPONENT PU ZHANG ANDJIANGLONG WU Abstract. Let M be the Hardy-Littlewood maximal function, the commutator generated by M and a suitable function b is deﬁned by [M,b]f = M(bf)−bMf. In this paper, the authors give some characterizations of b for which [M,b] is . Read "Differential Operators on Spaces of Variable Integrability" by David E Edmunds available from Rakuten Kobo. The theory of Lebesgue and Sobolev spaces with variable integrability is experiencing a steady expansion, and is the sub Brand: World Scientific Publishing Company.

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“The book is devoted to Lebesgue and Soboley spaces with variable exponents. The present book consists of the introduction and three parts. The majority of the results presented in the monograph were obtained by the authors and their collaborators.

the books is a useful source of unified information on Lebesgue and Soboley spaces Cited by: The field of variable exponent function spaces has witnessed an explosive growth in recent years. The standard reference article for basic properties is already 20 years old. Thus this self-contained monograph collecting all the basic properties of variable exponent Lebesgue and Sobolev spaces is timely and provides a much-needed accessible.

Lebesgue and Sobolev Spaces with Variable Exponents (Lecture Notes in Mathematics Book ) - Kindle edition by Diening, Lars, Harjulehto, Petteri, Hästö, Peter, Ruzicka, Michael, Harjulehto, Petteri, Hästö, Peter, Ruzicka, Michael.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while Manufacturer: Springer.

1 Introduction.- 2 A framework for function spaces.- 3 Variable exponent Lebesgue spaces.- 4 The maximal operator.- 5 The generalized Muckenhoupt condition*.- 6 Classical operators.

Lebesgue and Sobolev Spaces with Variable Exponents by Lars Diening and a great selection of related books, art and collectibles available now at - Lebesgue and Sobolev Spaces with Variable Exponents Lecture Notes in Mathematics by Diening, Lars.

of variable exponent Lebesgue and Sobolev spaces, which ﬁlls the need of having a readily available reference with uniﬁed notation and terminology. Since most of the results contained in this book are no more than ten years.

This timely monograph collects all the basic properties of variable exponent Lebesgue and Sobolev spaces. the state of the art concerning Lebesgue and Sobolev spaces with variable exponents.

The book is also having a rich \/a>> # Lebesgue and Sobolev spaces with variable exponents\/span>\n \u00A0\u00A0\u00A0. springer, The field of variable exponent function spaces has witnessed an explosive growth in recent years.

The standard reference article for basic properties is already 20 years old. Thus this self-contained monograph collecting all the basic properties of variable exponent Lebesgue and Sobolev spaces is timely and provides a much-needed accessible reference work utilizing.

In mathematics, a Sobolev space is a vector space of functions equipped with a norm that is a combination of L p-norms of the function together with its derivatives up to a given order.

The derivatives are understood in a suitable weak sense to make the space complete, i.e. a Banach ively, a Sobolev space is a space of functions possessing sufficiently many. TY - BOOK. T1 - Lebesgue and Sobolev Spaces with Variable Exponents. AU - Diening, Lars. AU - Harjulehto, Petteri.

AU - Hästö, Peter. AU - Ruzicka, Michael. PY - Y1 - KW - NONSTANDARD GROWTH-CONDITIONS. KW - L-P SPACES. KW - BOUNDARY-VALUE-PROBLEMS.

KW - LITTLEWOOD MAXIMAL-FUNCTION. KW - WEIGHTED NORM Cited by: open problems in v ariable exponent lebesgue and sobolev spaces 9 The parts of the domain where p (x) = t or p (x) = s are handled as in [93]; let us denote the integral ov er these parts by C. Variable exponent Lebesgue and Sobolev spaces are natural extensions of classical constant exponent \(L^{p}\) kind of theory finds many applications for example in nonlinear elastic mechanics [], electrorheological fluids [] or image restoration [].During the last decade Lebesgue and Sobolev spaces with variable exponents have been intensively Cited by: 1.

This timely monograph collects all the basic properties of variable exponent Lebesgue and Sobolev spaces. It provides a much-needed accessible reference work utilizing consistent notation and terminology.

Many results have new and improved : Lars Diening; Petteri Harjulehto; Peter Hasto. Book Description. Partial Differential Equations with Variable Exponents: Variational Methods and Qualitative Analysis provides researchers and graduate students with a thorough introduction to the theory of nonlinear partial differential equations (PDEs) with a variable exponent, particularly those of elliptic type.

The book presents the most important variational methods for elliptic. The basic premise of the book remains unchanged: Sobolev Spaces is intended to provide a solid foundation in these spaces for graduate students and researchers alike.

Lebesgue and Sobolev Spaces with Variable Exponents. Lars Diening. Format Thus this self-contained monograph collecting all the basic properties of variable exponent. Function spaces with variable exponents Lebesgue and Sobolev spaces with variable exponents, Lecture Notes in Mathematics ,Springer, Heidelberg ().

Cruz-Uribe, A. Fiorenza: Variable Lebesgue spaces, Applied and Numerical Harmonic Analysis, Birkh¨auser/Springer, Heidelberg ().

Summary. Partial Differential Equations with Variable Exponents: Variational Methods and Qualitative Analysis provides researchers and graduate students with a thorough introduction to the theory of nonlinear partial differential equations (PDEs) with a variable exponent, particularly those of elliptic type.

The book presents the most important variational methods for elliptic. Weighted Sobolev theorem in Lebesgue spaces with variable exponent N.G. Samkoa,∗,vc a Centro CEMAT, IST, Portugal b Universidade do Algarve, FaroPortugal c Rostov State University, Russia Received 28 June Available online 12 February Submitted by P.

Koskela Abstract. Lebesgue and Sobolev Spaces with Variable Exponents The field of variable exponent function spaces has witnessed an explosive growth in recent years.

The standard reference article for basic properties is already 20 years old. Thus this self-contained monograph collecting all the basic properties of variable exponent Lebesgue and Sobolev spaces. On JanuMiroslav Krbec, who should have been the second author of this paper, sent me a message that contained an idea for a proof of a local boundedness-type result for the maximal operator in variable exponent Lebesgue spaces.

At that time, I was writing a book on variable Lebesgue spaces with David Cruz-Uribe. The collaboration Author: Alberto Fiorenza. Variable Lebesgue Spaces and Hyperbolic Systems Lebesgue and Sobolev Spaces with Variable Exponents Lars Diening, Petteri Harjulehto, Peter Hasto, Michael Ruzicka Häftad.

An Introductory Course in Lebesgue Spaces Rene Erlin Castillo, Humberto Rafeiro Lebesgue Integration Universitext.* Corresponding author: Vicent¸iu D.

Rădulescu. Received May Revised August Published October Fund Project: The second author is supported by a grant of the Romanian National Authority for Scientific Research and Innovation, CNCS-UEFISCDI, project number PN-Ⅲ-P4-ID-PCECited by: In this article we extend the known results concerning the subadditivity of capacity and the Lebesgue points of functions of the variable exponent Sobolev spaces to cover also the case p − = show that the variable exponent Sobolev capacity is subadditive for variable exponents satisfying 1 ⩽ p Author: Heikki Hakkarainen, Matti Nuortio.