FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2002575511> ?p ?o ?g. }

• W2002575511 endingPage "122" @default.
• W2002575511 startingPage "103" @default.
• W2002575511 abstract "The main result of this paper is a commutator theorem: If <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=mu> <mml:semantics> <mml:mi>μ<!-- μ --></mml:mi> <mml:annotation encoding=application/x-tex>mu</mml:annotation> </mml:semantics> </mml:math> </inline-formula> and <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=lamda> <mml:semantics> <mml:mi>λ<!-- λ --></mml:mi> <mml:annotation encoding=application/x-tex>lambda</mml:annotation> </mml:semantics> </mml:math> </inline-formula> are <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper A Subscript p> <mml:semantics> <mml:mrow class=MJX-TeXAtom-ORD> <mml:msub> <mml:mi>A</mml:mi> <mml:mi>p</mml:mi> </mml:msub> </mml:mrow> <mml:annotation encoding=application/x-tex>{A_p}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> weights, then the commutator <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper H> <mml:semantics> <mml:mi>H</mml:mi> <mml:annotation encoding=application/x-tex>H</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper M Subscript b> <mml:semantics> <mml:mrow class=MJX-TeXAtom-ORD> <mml:msub> <mml:mi>M</mml:mi> <mml:mi>b</mml:mi> </mml:msub> </mml:mrow> <mml:annotation encoding=application/x-tex>{M_b}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is a bounded operator from <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper L Superscript p Baseline left-parenthesis mu right-parenthesis> <mml:semantics> <mml:mrow> <mml:mrow class=MJX-TeXAtom-ORD> <mml:msup> <mml:mi>L</mml:mi> <mml:mi>p</mml:mi> </mml:msup> </mml:mrow> <mml:mo stretchy=false>(</mml:mo> <mml:mi>μ<!-- μ --></mml:mi> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>{L^p}(mu )</mml:annotation> </mml:semantics> </mml:math> </inline-formula> into <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper L Superscript p Baseline left-parenthesis lamda right-parenthesis> <mml:semantics> <mml:mrow> <mml:mrow class=MJX-TeXAtom-ORD> <mml:msup> <mml:mi>L</mml:mi> <mml:mi>p</mml:mi> </mml:msup> </mml:mrow> <mml:mo stretchy=false>(</mml:mo> <mml:mi>λ<!-- λ --></mml:mi> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>{L^p}(lambda )</mml:annotation> </mml:semantics> </mml:math> </inline-formula> if and only if <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=b element-of upper B upper M upper O Subscript left-parenthesis mu lamda Sub Superscript negative 1 Subscript right-parenthesis Sub Superscript 1 slash p> <mml:semantics> <mml:mrow> <mml:mi>b</mml:mi> <mml:mo>∈<!-- ∈ --></mml:mo> <mml:mrow class=MJX-TeXAtom-ORD> <mml:msub> <mml:mi>BMO</mml:mi> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mrow class=MJX-TeXAtom-ORD> <mml:msup> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mo stretchy=false>(</mml:mo> <mml:mi>μ<!-- μ --></mml:mi> <mml:mrow class=MJX-TeXAtom-ORD> <mml:msup> <mml:mi>λ<!-- λ --></mml:mi> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mo>−<!-- − --></mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:msup> </mml:mrow> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mn>1</mml:mn> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mo>/</mml:mo> </mml:mrow> <mml:mi>p</mml:mi> </mml:mrow> </mml:msup> </mml:mrow> </mml:mrow> </mml:msub> </mml:mrow> </mml:mrow> <mml:annotation encoding=application/x-tex>b in {operatorname {BMO} _{{{(mu {lambda ^{ - 1}})}^{1/p}}}}</mml:annotation> </mml:semantics> </mml:math> </inline-formula>. The proof relies heavily on a weighted sharp function theorem. Along the way, several other applications of this theorem are derived, including a doubly-weighted <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> estimate for BMO. Finally, the commutator theorem is used to obtain vector-valued weighted norm inequalities for the Hilbert transform." @default.
• W2002575511 created "2016-06-24" @default.
• W2002575511 creator A5006209550 @default.
• W2002575511 date "1985-01-01" @default.
• W2002575511 modified "2023-10-13" @default.
• W2002575511 title "A commutator theorem and weighted BMO" @default.
• W2002575511 cites W1528337088 @default.
• W2002575511 cites W2017764941 @default.
• W2002575511 cites W2068440104 @default.
• W2002575511 cites W2075842064 @default.
• W2002575511 cites W2086897110 @default.
• W2002575511 cites W2316823327 @default.
• W2002575511 cites W4246215161 @default.
• W2002575511 cites W4249667782 @default.
• W2002575511 cites W4250439879 @default.
• W2002575511 cites W762551724 @default.
• W2002575511 cites W822386897 @default.
• W2002575511 doi "https://doi.org/10.1090/s0002-9947-1985-0805955-5" @default.
• W2002575511 hasPublicationYear "1985" @default.
• W2002575511 type Work @default.
• W2002575511 sameAs 2002575511 @default.
• W2002575511 citedByCount "140" @default.
• W2002575511 countsByYear W20025755112012 @default.
• W2002575511 countsByYear W20025755112013 @default.
• W2002575511 countsByYear W20025755112014 @default.
• W2002575511 countsByYear W20025755112015 @default.
• W2002575511 countsByYear W20025755112016 @default.
• W2002575511 countsByYear W20025755112017 @default.
• W2002575511 countsByYear W20025755112018 @default.
• W2002575511 countsByYear W20025755112019 @default.
• W2002575511 countsByYear W20025755112020 @default.
• W2002575511 countsByYear W20025755112021 @default.
• W2002575511 countsByYear W20025755112022 @default.
• W2002575511 countsByYear W20025755112023 @default.
• W2002575511 crossrefType "journal-article" @default.
• W2002575511 hasAuthorship W2002575511A5006209550 @default.
• W2002575511 hasBestOaLocation W20025755111 @default.
• W2002575511 hasConcept C11413529 @default.
• W2002575511 hasConcept C136119220 @default.
• W2002575511 hasConcept C145620117 @default.
• W2002575511 hasConcept C154945302 @default.
• W2002575511 hasConcept C18903297 @default.
• W2002575511 hasConcept C202444582 @default.
• W2002575511 hasConcept C2776321320 @default.
• W2002575511 hasConcept C2777299769 @default.
• W2002575511 hasConcept C33923547 @default.
• W2002575511 hasConcept C41008148 @default.
• W2002575511 hasConcept C73648015 @default.
• W2002575511 hasConcept C86803240 @default.
• W2002575511 hasConceptScore W2002575511C11413529 @default.
• W2002575511 hasConceptScore W2002575511C136119220 @default.
• W2002575511 hasConceptScore W2002575511C145620117 @default.
• W2002575511 hasConceptScore W2002575511C154945302 @default.
• W2002575511 hasConceptScore W2002575511C18903297 @default.
• W2002575511 hasConceptScore W2002575511C202444582 @default.
• W2002575511 hasConceptScore W2002575511C2776321320 @default.
• W2002575511 hasConceptScore W2002575511C2777299769 @default.
• W2002575511 hasConceptScore W2002575511C33923547 @default.
• W2002575511 hasConceptScore W2002575511C41008148 @default.
• W2002575511 hasConceptScore W2002575511C73648015 @default.
• W2002575511 hasConceptScore W2002575511C86803240 @default.
• W2002575511 hasIssue "1" @default.
• W2002575511 hasLocation W20025755111 @default.
• W2002575511 hasOpenAccess W2002575511 @default.
• W2002575511 hasPrimaryLocation W20025755111 @default.
• W2002575511 hasRelatedWork W2030189348 @default.
• W2002575511 hasRelatedWork W2099873572 @default.
• W2002575511 hasRelatedWork W2312800661 @default.
• W2002575511 hasRelatedWork W2371181305 @default.
• W2002575511 hasRelatedWork W2371512749 @default.
• W2002575511 hasRelatedWork W2389084694 @default.
• W2002575511 hasRelatedWork W2612586646 @default.
• W2002575511 hasRelatedWork W3198440561 @default.
• W2002575511 hasRelatedWork W3198456119 @default.
• W2002575511 hasRelatedWork W1594980001 @default.
• W2002575511 hasVolume "292" @default.
• W2002575511 isParatext "false" @default.
• W2002575511 isRetracted "false" @default.
• W2002575511 magId "2002575511" @default.
• W2002575511 workType "article" @default.