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Nontangential maximal functions over compact Riemannian manifolds

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Zeitschriftentitel: Proceedings of the American Mathematical Society
Personen und Körperschaften: Blank, B. E.
In: Proceedings of the American Mathematical Society, 103, 1988, 3, S. 999-1002
Format: E-Article
Sprache: Englisch
veröffentlicht:
American Mathematical Society (AMS)
Schlagwörter:
Applied Mathematics
General Mathematics
author_facet Blank, B. E.
Blank, B. E.
author Blank, B. E.
spellingShingle Blank, B. E.
Proceedings of the American Mathematical Society
Nontangential maximal functions over compact Riemannian manifolds
Applied Mathematics
General Mathematics
author_sort blank, b. e.
spelling Blank, B. E. 0002-9939 1088-6826 American Mathematical Society (AMS) Applied Mathematics General Mathematics http://dx.doi.org/10.1090/s0002-9939-1988-0947697-x <p>The nontangential maximal function associated to the Poisson semigroup for a compact Riemannian manifold is shown to be weak type (1,1) and <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper L Superscript p"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msup> <mml:mi>L</mml:mi> <mml:mi>p</mml:mi> </mml:msup> </mml:mrow> <mml:annotation encoding="application/x-tex">{L^p}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> bounded <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="left-parenthesis p greater-than 1 right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mi>p</mml:mi> <mml:mo>&gt;</mml:mo> <mml:mn>1</mml:mn> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> <mml:annotation encoding="application/x-tex">(p &gt; 1)</mml:annotation> </mml:semantics> </mml:math> </inline-formula>.</p> Nontangential maximal functions over compact Riemannian manifolds Proceedings of the American Mathematical Society
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title Nontangential maximal functions over compact Riemannian manifolds
title_unstemmed Nontangential maximal functions over compact Riemannian manifolds
title_full Nontangential maximal functions over compact Riemannian manifolds
title_fullStr Nontangential maximal functions over compact Riemannian manifolds
title_full_unstemmed Nontangential maximal functions over compact Riemannian manifolds
title_short Nontangential maximal functions over compact Riemannian manifolds
title_sort nontangential maximal functions over compact riemannian manifolds
topic Applied Mathematics
General Mathematics
url http://dx.doi.org/10.1090/s0002-9939-1988-0947697-x
publishDate 1988
physical 999-1002
description <p>The nontangential maximal function associated to the Poisson semigroup for a compact Riemannian manifold is shown to be weak type (1,1) and <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper L Superscript p"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msup> <mml:mi>L</mml:mi> <mml:mi>p</mml:mi> </mml:msup> </mml:mrow> <mml:annotation encoding="application/x-tex">{L^p}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> bounded <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="left-parenthesis p greater-than 1 right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mi>p</mml:mi> <mml:mo>&gt;</mml:mo> <mml:mn>1</mml:mn> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> <mml:annotation encoding="application/x-tex">(p &gt; 1)</mml:annotation> </mml:semantics> </mml:math> </inline-formula>.</p>
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description <p>The nontangential maximal function associated to the Poisson semigroup for a compact Riemannian manifold is shown to be weak type (1,1) and <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper L Superscript p"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msup> <mml:mi>L</mml:mi> <mml:mi>p</mml:mi> </mml:msup> </mml:mrow> <mml:annotation encoding="application/x-tex">{L^p}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> bounded <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="left-parenthesis p greater-than 1 right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mi>p</mml:mi> <mml:mo>&gt;</mml:mo> <mml:mn>1</mml:mn> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> <mml:annotation encoding="application/x-tex">(p &gt; 1)</mml:annotation> </mml:semantics> </mml:math> </inline-formula>.</p>
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spelling Blank, B. E. 0002-9939 1088-6826 American Mathematical Society (AMS) Applied Mathematics General Mathematics http://dx.doi.org/10.1090/s0002-9939-1988-0947697-x <p>The nontangential maximal function associated to the Poisson semigroup for a compact Riemannian manifold is shown to be weak type (1,1) and <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper L Superscript p"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msup> <mml:mi>L</mml:mi> <mml:mi>p</mml:mi> </mml:msup> </mml:mrow> <mml:annotation encoding="application/x-tex">{L^p}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> bounded <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="left-parenthesis p greater-than 1 right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mi>p</mml:mi> <mml:mo>&gt;</mml:mo> <mml:mn>1</mml:mn> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> <mml:annotation encoding="application/x-tex">(p &gt; 1)</mml:annotation> </mml:semantics> </mml:math> </inline-formula>.</p> Nontangential maximal functions over compact Riemannian manifolds Proceedings of the American Mathematical Society
spellingShingle Blank, B. E., Proceedings of the American Mathematical Society, Nontangential maximal functions over compact Riemannian manifolds, Applied Mathematics, General Mathematics
title Nontangential maximal functions over compact Riemannian manifolds
title_full Nontangential maximal functions over compact Riemannian manifolds
title_fullStr Nontangential maximal functions over compact Riemannian manifolds
title_full_unstemmed Nontangential maximal functions over compact Riemannian manifolds
title_short Nontangential maximal functions over compact Riemannian manifolds
title_sort nontangential maximal functions over compact riemannian manifolds
title_unstemmed Nontangential maximal functions over compact Riemannian manifolds
topic Applied Mathematics, General Mathematics
url http://dx.doi.org/10.1090/s0002-9939-1988-0947697-x