Boundedness of fractional maximal operators between classical and weak type Lorentz spaces:
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| Main Authors: | , |
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| Format: | Book |
| Language: | English |
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Warszawa
Polska Akad. Nauk, Inst. Matematyczny
2002
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| Series: | Dissertationes mathematicae
410 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 50, II S. |
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| adam_text |
Titel: Boundedness of fractional maximal operators between classical and weak type Lorentz spaces
Autor: Edmunds, David E
Jahr: 2002
CONTENTS
1. Introduction.5
2. Notation and preliminaries.7
3. Sharp estimates of (-#Sl7;A/)*.9
4. Boundedness of ^5,7;A : Ap(v) —? Aq(w), 0 p q 00.17
5. Boundedness of ^t7;A : Ap(v) -» ^'°°(uj), 0 p, g 00.25
6. Boundedness of Jts,r,k ' Ap,°°(t;) —? Aq,°°(w), 0 p,g 00.29
7. Boundedness of ^5,7;A : Api°°{v) -* Aq(w), 0 p, g 00.32
8. Boundedness of ^Sj7;A : Ap(v) -+ Aq(w), 0 g p 00.34
9. Local results.35
10. Applications.37
11. Appendix.42
References.48
2000 Mathematics Subject Classification: 26D10, 42B25, 46E30, 47B38, 47G10, 46B70.
Key words and phrases: fractional maximal operators involving logarithmic terms, classical and
weak-type Lorentz spaces, weighted inequalities, the limiting real interpolation.
Received 19.12.2000; revised version 28.3.2002.
Abstract
We derive conditions, which are both necessary and sufficient, for the boundedness of (power-
logarithmic) fractional maximal operators between classical and weak-type Lorentz spaces. |
| any_adam_object | 1 |
| author | Edmunds, David E. 1931- Opic, Bohumír |
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| id | DE-604.BV016477348 |
| illustrated | Not Illustrated |
| indexdate | 2025-03-31T20:04:06Z |
| institution | BVB |
| language | English |
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| physical | 50, II S. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Polska Akad. Nauk, Inst. Matematyczny |
| record_format | marc |
| series | Dissertationes mathematicae |
| series2 | Dissertationes mathematicae |
| spelling | Edmunds, David E. 1931- Verfasser (DE-588)129315176 aut Boundedness of fractional maximal operators between classical and weak type Lorentz spaces David E. Edmunds ; Bohumír Opic Warszawa Polska Akad. Nauk, Inst. Matematyczny 2002 50, II S. txt rdacontent n rdamedia nc rdacarrier Dissertationes mathematicae 410 Lorentz spaces Mappings (Mathematics) Operator theory Opic, Bohumír Verfasser aut Dissertationes mathematicae 410 (DE-604)BV000003039 410 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010187002&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Edmunds, David E. 1931- Opic, Bohumír Boundedness of fractional maximal operators between classical and weak type Lorentz spaces Dissertationes mathematicae Lorentz spaces Mappings (Mathematics) Operator theory |
| title | Boundedness of fractional maximal operators between classical and weak type Lorentz spaces |
| title_auth | Boundedness of fractional maximal operators between classical and weak type Lorentz spaces |
| title_exact_search | Boundedness of fractional maximal operators between classical and weak type Lorentz spaces |
| title_full | Boundedness of fractional maximal operators between classical and weak type Lorentz spaces David E. Edmunds ; Bohumír Opic |
| title_fullStr | Boundedness of fractional maximal operators between classical and weak type Lorentz spaces David E. Edmunds ; Bohumír Opic |
| title_full_unstemmed | Boundedness of fractional maximal operators between classical and weak type Lorentz spaces David E. Edmunds ; Bohumír Opic |
| title_short | Boundedness of fractional maximal operators between classical and weak type Lorentz spaces |
| title_sort | boundedness of fractional maximal operators between classical and weak type lorentz spaces |
| topic | Lorentz spaces Mappings (Mathematics) Operator theory |
| topic_facet | Lorentz spaces Mappings (Mathematics) Operator theory |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010187002&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003039 |
| work_keys_str_mv | AT edmundsdavide boundednessoffractionalmaximaloperatorsbetweenclassicalandweaktypelorentzspaces AT opicbohumir boundednessoffractionalmaximaloperatorsbetweenclassicalandweaktypelorentzspaces |