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Existence of harmonic 𝐿¹ functions in complete Riemannian manifolds
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| Zeitschriftentitel: | Proceedings of the American Mathematical Society |
|---|---|
| Personen und Körperschaften: | |
| In: | Proceedings of the American Mathematical Society, 88, 1983, 3, S. 531-532 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
American Mathematical Society (AMS)
|
| Schlagwörter: |
| author_facet |
Chung, L. O. Chung, L. O. |
|---|---|
| author |
Chung, L. O. |
| spellingShingle |
Chung, L. O. Proceedings of the American Mathematical Society Existence of harmonic 𝐿¹ functions in complete Riemannian manifolds Applied Mathematics General Mathematics |
| author_sort |
chung, l. o. |
| spelling |
Chung, L. O. 0002-9939 1088-6826 American Mathematical Society (AMS) Applied Mathematics General Mathematics http://dx.doi.org/10.1090/s0002-9939-1983-0699427-2 <p>We construct a complete Riemannian manifold which carries a nonconstant harmonic <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper L Superscript 1"> <mml:semantics> <mml:msup> <mml:mi>L</mml:mi> <mml:mn>1</mml:mn> </mml:msup> <mml:annotation encoding="application/x-tex">L^1</mml:annotation> </mml:semantics> </mml:math> </inline-formula> function.</p> Existence of harmonic 𝐿¹ functions in complete Riemannian manifolds Proceedings of the American Mathematical Society |
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10.1090/s0002-9939-1983-0699427-2 |
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Online Free |
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Mathematik |
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American Mathematical Society (AMS), 1983 |
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American Mathematical Society (AMS), 1983 |
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0002-9939 1088-6826 |
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0002-9939 1088-6826 |
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English |
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1983 |
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American Mathematical Society (AMS) |
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ai |
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ai |
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Proceedings of the American Mathematical Society |
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49 |
| title |
Existence of harmonic 𝐿¹ functions in complete Riemannian manifolds |
| title_unstemmed |
Existence of harmonic 𝐿¹ functions in complete Riemannian manifolds |
| title_full |
Existence of harmonic 𝐿¹ functions in complete Riemannian manifolds |
| title_fullStr |
Existence of harmonic 𝐿¹ functions in complete Riemannian manifolds |
| title_full_unstemmed |
Existence of harmonic 𝐿¹ functions in complete Riemannian manifolds |
| title_short |
Existence of harmonic 𝐿¹ functions in complete Riemannian manifolds |
| title_sort |
existence of harmonic 𝐿¹ functions in complete riemannian manifolds |
| topic |
Applied Mathematics General Mathematics |
| url |
http://dx.doi.org/10.1090/s0002-9939-1983-0699427-2 |
| publishDate |
1983 |
| physical |
531-532 |
| description |
<p>We construct a complete Riemannian manifold which carries a nonconstant harmonic <inline-formula content-type="math/mathml">
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper L Superscript 1">
<mml:semantics>
<mml:msup>
<mml:mi>L</mml:mi>
<mml:mn>1</mml:mn>
</mml:msup>
<mml:annotation encoding="application/x-tex">L^1</mml:annotation>
</mml:semantics>
</mml:math>
</inline-formula> function.</p> |
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| author | Chung, L. O. |
| author_facet | Chung, L. O., Chung, L. O. |
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| container_issue | 3 |
| container_start_page | 531 |
| container_title | Proceedings of the American Mathematical Society |
| container_volume | 88 |
| description | <p>We construct a complete Riemannian manifold which carries a nonconstant harmonic <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper L Superscript 1"> <mml:semantics> <mml:msup> <mml:mi>L</mml:mi> <mml:mn>1</mml:mn> </mml:msup> <mml:annotation encoding="application/x-tex">L^1</mml:annotation> </mml:semantics> </mml:math> </inline-formula> function.</p> |
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| imprint | American Mathematical Society (AMS), 1983 |
| imprint_str_mv | American Mathematical Society (AMS), 1983 |
| institution | DE-D275, DE-Bn3, DE-Brt1, DE-Zwi2, DE-D161, DE-Gla1, DE-Zi4, DE-15, DE-Pl11, DE-Rs1, DE-105, DE-14, DE-Ch1, DE-L229 |
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| physical | 531-532 |
| publishDate | 1983 |
| publishDateSort | 1983 |
| publisher | American Mathematical Society (AMS) |
| record_format | ai |
| recordtype | ai |
| series | Proceedings of the American Mathematical Society |
| source_id | 49 |
| spelling | Chung, L. O. 0002-9939 1088-6826 American Mathematical Society (AMS) Applied Mathematics General Mathematics http://dx.doi.org/10.1090/s0002-9939-1983-0699427-2 <p>We construct a complete Riemannian manifold which carries a nonconstant harmonic <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper L Superscript 1"> <mml:semantics> <mml:msup> <mml:mi>L</mml:mi> <mml:mn>1</mml:mn> </mml:msup> <mml:annotation encoding="application/x-tex">L^1</mml:annotation> </mml:semantics> </mml:math> </inline-formula> function.</p> Existence of harmonic 𝐿¹ functions in complete Riemannian manifolds Proceedings of the American Mathematical Society |
| spellingShingle | Chung, L. O., Proceedings of the American Mathematical Society, Existence of harmonic 𝐿¹ functions in complete Riemannian manifolds, Applied Mathematics, General Mathematics |
| title | Existence of harmonic 𝐿¹ functions in complete Riemannian manifolds |
| title_full | Existence of harmonic 𝐿¹ functions in complete Riemannian manifolds |
| title_fullStr | Existence of harmonic 𝐿¹ functions in complete Riemannian manifolds |
| title_full_unstemmed | Existence of harmonic 𝐿¹ functions in complete Riemannian manifolds |
| title_short | Existence of harmonic 𝐿¹ functions in complete Riemannian manifolds |
| title_sort | existence of harmonic 𝐿¹ functions in complete riemannian manifolds |
| title_unstemmed | Existence of harmonic 𝐿¹ functions in complete Riemannian manifolds |
| topic | Applied Mathematics, General Mathematics |
| url | http://dx.doi.org/10.1090/s0002-9939-1983-0699427-2 |