Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28 / / Gerald B. Folland, Elias M. Stein.
The object of this monograph is to give an exposition of the real-variable theory of Hardy spaces (HP spaces). This theory has attracted considerable attention in recent years because it led to a better understanding in Rn of such related topics as singular integrals, multiplier operators, maximal f...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton Mathematical Notes eBook-Package 1970-2016 |
|---|---|
| VerfasserIn: | |
| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2022] ©1982 |
| Year of Publication: | 2022 |
| Language: | English |
| Series: | Mathematical Notes ;
28 |
| Online Access: | |
| Physical Description: | 1 online resource (286 p.) |
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| 082 | 0 | 4 | |a 515.7/3 |2 23 |
| 100 | 1 | |a Folland, Gerald B., |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28 / |c Gerald B. Folland, Elias M. Stein. |
| 264 | 1 | |a Princeton, NJ : |b Princeton University Press, |c [2022] | |
| 264 | 4 | |c ©1982 | |
| 300 | |a 1 online resource (286 p.) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 0 | |a Mathematical Notes ; |v 28 | |
| 505 | 0 | 0 | |t Frontmatter -- |t TABLE OF CONTENTS -- |t INTRODUCTION -- |t Remarks on Notation -- |t CHAPTER 1 Background on Homogeneous Groups -- |t CHAPTER 2 Maximal Functions and Atoms -- |t CHAPTER 3 Decomposition and Interpolation Theorems -- |t CHAPTER 4 Other Maximal Function Characterizations of HP -- |t CHAPTER 5 Duals of HP spaces: Campanato Spaces -- |t CHAPTER 6 Convolution Operators on HP -- |t CHAPTER 7 Characterization of HP by Square Functions: The Lusin and Littlewood-Paley Functions -- |t CHAPTER 8 Boundary Value Problems -- |t BIBLIOGRAPHY -- |t Index of Terminology -- |t Index of Notation |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 520 | |a The object of this monograph is to give an exposition of the real-variable theory of Hardy spaces (HP spaces). This theory has attracted considerable attention in recent years because it led to a better understanding in Rn of such related topics as singular integrals, multiplier operators, maximal functions, and real-variable methods generally. Because of its fruitful development, a systematic exposition of some of the main parts of the theory is now desirable. In addition to this exposition, these notes contain a recasting of the theory in the more general setting where the underlying Rn is replaced by a homogeneous group.The justification for this wider scope comes from two sources: 1) the theory of semi-simple Lie groups and symmetric spaces, where such homogeneous groups arise naturally as "boundaries," and 2) certain classes of non-elliptic differential equations (in particular those connected with several complex variables), where the model cases occur on homogeneous groups. The example which has been most widely studied in recent years is that of the Heisenberg group. | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. Jun 2022) | |
| 650 | 0 | |a Functions of real variables. | |
| 650 | 0 | |a Hardy spaces. | |
| 650 | 0 | |a Lie groups. | |
| 650 | 7 | |a MATHEMATICS / Complex Analysis. |2 bisacsh | |
| 653 | |a "admissible. | ||
| 653 | |a Campanato space. | ||
| 653 | |a Campbell-Hausdorff formul. | ||
| 653 | |a Chebyshev's inequality. | ||
| 653 | |a Constants. | ||
| 653 | |a Derivatives and multiindices. | ||
| 653 | |a Dilations. | ||
| 653 | |a Hardy space. | ||
| 653 | |a Hardy-Littlewood maximal function. | ||
| 653 | |a Heisenberg group. | ||
| 653 | |a Littlewood-Paley function. | ||
| 653 | |a Lusin function. | ||
| 653 | |a Maximal functions. | ||
| 653 | |a Norms. | ||
| 653 | |a Other operations on functions". | ||
| 653 | |a Poisson kernel. | ||
| 653 | |a Poisson-Szegö kernel. | ||
| 653 | |a area integral. | ||
| 653 | |a associated (to a ball). | ||
| 653 | |a atom. | ||
| 653 | |a atomic Hardy space. | ||
| 653 | |a atomic decomposition. | ||
| 653 | |a ball. | ||
| 653 | |a commutative approximate identity. | ||
| 653 | |a convolution. | ||
| 653 | |a dilations. | ||
| 653 | |a distribution function. | ||
| 653 | |a graded. | ||
| 653 | |a grand maximal function. | ||
| 653 | |a heat kernel. | ||
| 653 | |a heat semigroup. | ||
| 653 | |a isotropic degree. | ||
| 653 | |a kernel of type. | ||
| 653 | |a lower central series. | ||
| 653 | |a nilpotent. | ||
| 653 | |a nonincreasing rearrangement. | ||
| 653 | |a nontangential maximal function. | ||
| 653 | |a p-admissible. | ||
| 653 | |a polynomial. | ||
| 653 | |a polyradial. | ||
| 653 | |a positive operator. | ||
| 653 | |a quasinorms. | ||
| 653 | |a seminorms. | ||
| 700 | 1 | |a Stein, Elias M., |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton Mathematical Notes eBook-Package 1970-2016 |z 9783110494921 |o ZDB-23-PMN |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton University Press eBook-Package Archive 1927-1999 |z 9783110442496 |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton University Press eBook-Package Gap Years |z 9783110784237 |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9780691222455?locatt=mode:legacy |
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| 856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/document/cover/isbn/9780691222455/original |
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