FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W1531489178> ?p ?o ?g. }

• W1531489178 endingPage "467" @default.
• W1531489178 startingPage "439" @default.
• W1531489178 abstract "Relations between <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper L Subscript u Superscript p> <mml:semantics> <mml:msubsup> <mml:mi>L</mml:mi> <mml:mi>u</mml:mi> <mml:mi>p</mml:mi> </mml:msubsup> <mml:annotation encoding=application/x-tex>L_u^p</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=upper H Subscript u Superscript p> <mml:semantics> <mml:msubsup> <mml:mi>H</mml:mi> <mml:mi>u</mml:mi> <mml:mi>p</mml:mi> </mml:msubsup> <mml:annotation encoding=application/x-tex>H_u^p</mml:annotation> </mml:semantics> </mml:math> </inline-formula> of the real line are studied in the case when <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=p greater-than 1> <mml:semantics> <mml:mrow> <mml:mi>p</mml:mi> <mml:mo>></mml:mo> <mml:mn>1</mml:mn> </mml:mrow> <mml:annotation encoding=application/x-tex>p > 1</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=u left-parenthesis x right-parenthesis equals StartAbsoluteValue q left-parenthesis x right-parenthesis EndAbsoluteValue Superscript p Baseline w left-parenthesis x right-parenthesis> <mml:semantics> <mml:mrow> <mml:mi>u</mml:mi> <mml:mo stretchy=false>(</mml:mo> <mml:mi>x</mml:mi> <mml:mo stretchy=false>)</mml:mo> <mml:mo>=</mml:mo> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mo stretchy=false>|</mml:mo> </mml:mrow> <mml:mi>q</mml:mi> <mml:mo stretchy=false>(</mml:mo> <mml:mi>x</mml:mi> <mml:mo stretchy=false>)</mml:mo> <mml:mrow class=MJX-TeXAtom-ORD> <mml:msup> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mo stretchy=false>|</mml:mo> </mml:mrow> <mml:mi>p</mml:mi> </mml:msup> </mml:mrow> <mml:mi>w</mml:mi> <mml:mo stretchy=false>(</mml:mo> <mml:mi>x</mml:mi> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>u(x) = |q(x){|^p}w(x)</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, where <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=q left-parenthesis x right-parenthesis> <mml:semantics> <mml:mrow> <mml:mi>q</mml:mi> <mml:mo stretchy=false>(</mml:mo> <mml:mi>x</mml:mi> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>q(x)</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is a polynomial and <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=w left-parenthesis x right-parenthesis> <mml:semantics> <mml:mrow> <mml:mi>w</mml:mi> <mml:mo stretchy=false>(</mml:mo> <mml:mi>x</mml:mi> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>w(x)</mml:annotation> </mml:semantics> </mml:math> </inline-formula> satisfies the <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> condition. It turns out that <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper H Subscript u Superscript p> <mml:semantics> <mml:msubsup> <mml:mi>H</mml:mi> <mml:mi>u</mml:mi> <mml:mi>p</mml:mi> </mml:msubsup> <mml:annotation encoding=application/x-tex>H_u^p</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=upper L Subscript u Superscript p> <mml:semantics> <mml:msubsup> <mml:mi>L</mml:mi> <mml:mi>u</mml:mi> <mml:mi>p</mml:mi> </mml:msubsup> <mml:annotation encoding=application/x-tex>L_u^p</mml:annotation> </mml:semantics> </mml:math> </inline-formula> can be identified when all the zeros of <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=q> <mml:semantics> <mml:mi>q</mml:mi> <mml:annotation encoding=application/x-tex>q</mml:annotation> </mml:semantics> </mml:math> </inline-formula> are real, and that otherwise <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper H Subscript u Superscript p> <mml:semantics> <mml:msubsup> <mml:mi>H</mml:mi> <mml:mi>u</mml:mi> <mml:mi>p</mml:mi> </mml:msubsup> <mml:annotation encoding=application/x-tex>H_u^p</mml:annotation> </mml:semantics> </mml:math> </inline-formula> can be identified with a certain proper subspace of <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper L Subscript u Superscript p> <mml:semantics> <mml:msubsup> <mml:mi>L</mml:mi> <mml:mi>u</mml:mi> <mml:mi>p</mml:mi> </mml:msubsup> <mml:annotation encoding=application/x-tex>L_u^p</mml:annotation> </mml:semantics> </mml:math> </inline-formula>. In either case, a complete description of the distributions in <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper H Subscript u Superscript p> <mml:semantics> <mml:msubsup> <mml:mi>H</mml:mi> <mml:mi>u</mml:mi> <mml:mi>p</mml:mi> </mml:msubsup> <mml:annotation encoding=application/x-tex>H_u^p</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is given. The questions of boundary values and of the existence of dense subsets of smooth functions are also considered." @default.
• W1531489178 created "2016-06-24" @default.
• W1531489178 creator A5044685697 @default.
• W1531489178 creator A5076943501 @default.
• W1531489178 date "1982-01-01" @default.
• W1531489178 modified "2023-10-18" @default.
• W1531489178 title "Relations between 𝐻^{𝑝}ᵤ and 𝐿^{𝑝}ᵤ with polynomial weights" @default.
• W1531489178 cites W1607177401 @default.
• W1531489178 cites W1996154549 @default.
• W1531489178 cites W226813730 @default.
• W1531489178 cites W4231900860 @default.
• W1531489178 cites W4242349945 @default.
• W1531489178 cites W4246215161 @default.
• W1531489178 cites W4249667782 @default.
• W1531489178 doi "https://doi.org/10.1090/s0002-9947-1982-0645324-1" @default.
• W1531489178 hasPublicationYear "1982" @default.
• W1531489178 type Work @default.
• W1531489178 sameAs 1531489178 @default.
• W1531489178 citedByCount "6" @default.
• W1531489178 countsByYear W15314891782016 @default.
• W1531489178 countsByYear W15314891782022 @default.
• W1531489178 crossrefType "journal-article" @default.
• W1531489178 hasAuthorship W1531489178A5044685697 @default.
• W1531489178 hasAuthorship W1531489178A5076943501 @default.
• W1531489178 hasBestOaLocation W15314891781 @default.
• W1531489178 hasConcept C11413529 @default.
• W1531489178 hasConcept C138885662 @default.
• W1531489178 hasConcept C154945302 @default.
• W1531489178 hasConcept C2776321320 @default.
• W1531489178 hasConcept C2776542307 @default.
• W1531489178 hasConcept C33923547 @default.
• W1531489178 hasConcept C41008148 @default.
• W1531489178 hasConcept C41895202 @default.
• W1531489178 hasConceptScore W1531489178C11413529 @default.
• W1531489178 hasConceptScore W1531489178C138885662 @default.
• W1531489178 hasConceptScore W1531489178C154945302 @default.
• W1531489178 hasConceptScore W1531489178C2776321320 @default.
• W1531489178 hasConceptScore W1531489178C2776542307 @default.
• W1531489178 hasConceptScore W1531489178C33923547 @default.
• W1531489178 hasConceptScore W1531489178C41008148 @default.
• W1531489178 hasConceptScore W1531489178C41895202 @default.
• W1531489178 hasIssue "2" @default.
• W1531489178 hasLocation W15314891781 @default.
• W1531489178 hasOpenAccess W1531489178 @default.
• W1531489178 hasPrimaryLocation W15314891781 @default.
• W1531489178 hasRelatedWork W1490908374 @default.
• W1531489178 hasRelatedWork W151193258 @default.
• W1531489178 hasRelatedWork W1529400504 @default.
• W1531489178 hasRelatedWork W1607472309 @default.
• W1531489178 hasRelatedWork W1871911958 @default.
• W1531489178 hasRelatedWork W1892467659 @default.
• W1531489178 hasRelatedWork W2808586768 @default.
• W1531489178 hasRelatedWork W2998403542 @default.
• W1531489178 hasRelatedWork W3107474891 @default.
• W1531489178 hasRelatedWork W38394648 @default.
• W1531489178 hasVolume "270" @default.
• W1531489178 isParatext "false" @default.
• W1531489178 isRetracted "false" @default.
• W1531489178 magId "1531489178" @default.
• W1531489178 workType "article" @default.