Matches in SemOpenAlex for { <https://semopenalex.org/work/W3188387636> ?p ?o ?g. }
- W3188387636 abstract "Let $pin[1,infty]$, $qin(1,infty)$, $sinmathbb{Z}_+:=mathbb{N}cup{0}$, and $alphainmathbb{R}$. In this article, the authors find an appropriate definition of Calderon--Zygmund operators on $JN_{(p,q,s)_alpha}^{mathrm{con}}(mathbb{R}^n)$, the special John--Nirenberg--Campanato space via congruent cubes, which coincides with the Campanato space $mathcal{C}_{alpha,q,s}(mathbb{R}^n)$ when $p=infty$. Then, the authors establish the boundedness of these operators on $JN_{(p,q,s)_alpha}^{mathrm{con}}(mathbb{R}^n)$. To this end, the authors find an equivalent version of the well-known assumption on the Calderon--Zygmund operator $T$ that, for any $gammainmathbb{Z}_+^n$ with $|gamma|leq s$, $T^*(x^{gamma})=0$. The results are new even for the Campanato space $mathcal{C}_{alpha,q,s}(mathbb{R}^n)$ with $sinmathbb{N}$. Moreover, the authors also obtain the boundedness of Calderon--Zygmund operators on the Hardy-kind space $HK_{(p,q,s)_{alpha}}^{mathrm{con}}(mathbb{R}^n)$, the predual space of $JN_{(p',q',s)_alpha}^{mathrm{con}}(mathbb{R}^n)$, where $p'$ and $q'$ denote, respectively, the conjugate indexes of $p$ and $q$. Indeed, to overcome the difficulty caused by the fact that $HK_{(p,q,s)_{alpha}}^{mathrm{con}}(mathbb{R}^n)$ is no longer concave, the authors establish a criterion for boundedness of operators on $HK_{(p,q,s)_alpha}^{mathrm{con}}(mathbb{R}^n)$ via introducing molecules of $HK_{(p,q,s)_alpha}^{mathrm{con}}(mathbb{R}^n)$ and the duality result $(HK_{(p,q,s)_{alpha}}^{mathrm{con}}(mathbb{R}^n))^* =JN_{(p',q',s)_alpha}^{mathrm{con}}(mathbb{R}^n)$." @default.
- W3188387636 created "2021-08-16" @default.
- W3188387636 creator A5040629535 @default.
- W3188387636 creator A5041663169 @default.
- W3188387636 creator A5068607724 @default.
- W3188387636 creator A5072376010 @default.
- W3188387636 creator A5075292097 @default.
- W3188387636 date "2021-08-03" @default.
- W3188387636 modified "2023-09-27" @default.
- W3188387636 title "Boundedness of Calder'on--Zygmund Operators on Special John--Nirenberg--Campanato and Hardy-Type Spaces via Congruent Cubes" @default.
- W3188387636 cites W1488877410 @default.
- W3188387636 cites W1584610719 @default.
- W3188387636 cites W1884785000 @default.
- W3188387636 cites W1938003173 @default.
- W3188387636 cites W1971471870 @default.
- W3188387636 cites W1984286619 @default.
- W3188387636 cites W1996068735 @default.
- W3188387636 cites W2001657683 @default.
- W3188387636 cites W2015049504 @default.
- W3188387636 cites W2042703395 @default.
- W3188387636 cites W2061119801 @default.
- W3188387636 cites W2064973964 @default.
- W3188387636 cites W2083129101 @default.
- W3188387636 cites W2083836962 @default.
- W3188387636 cites W2088463128 @default.
- W3188387636 cites W2120009162 @default.
- W3188387636 cites W2129695704 @default.
- W3188387636 cites W2131277041 @default.
- W3188387636 cites W2140349457 @default.
- W3188387636 cites W2150698352 @default.
- W3188387636 cites W2187186927 @default.
- W3188387636 cites W2316535108 @default.
- W3188387636 cites W2597040200 @default.
- W3188387636 cites W2610149606 @default.
- W3188387636 cites W2751702453 @default.
- W3188387636 cites W290776844 @default.
- W3188387636 cites W2962687103 @default.
- W3188387636 cites W2968008944 @default.
- W3188387636 cites W2979348511 @default.
- W3188387636 cites W3038830718 @default.
- W3188387636 cites W3108263721 @default.
- W3188387636 cites W3119427999 @default.
- W3188387636 cites W3128325523 @default.
- W3188387636 cites W3166631120 @default.
- W3188387636 cites W3187257324 @default.
- W3188387636 cites W38305711 @default.
- W3188387636 cites W574567092 @default.
- W3188387636 cites W987852100 @default.
- W3188387636 cites W2512406259 @default.
- W3188387636 hasPublicationYear "2021" @default.
- W3188387636 type Work @default.
- W3188387636 sameAs 3188387636 @default.
- W3188387636 citedByCount "0" @default.
- W3188387636 crossrefType "posted-content" @default.
- W3188387636 hasAuthorship W3188387636A5040629535 @default.
- W3188387636 hasAuthorship W3188387636A5041663169 @default.
- W3188387636 hasAuthorship W3188387636A5068607724 @default.
- W3188387636 hasAuthorship W3188387636A5072376010 @default.
- W3188387636 hasAuthorship W3188387636A5075292097 @default.
- W3188387636 hasConcept C104317684 @default.
- W3188387636 hasConcept C114614502 @default.
- W3188387636 hasConcept C118615104 @default.
- W3188387636 hasConcept C138885662 @default.
- W3188387636 hasConcept C158448853 @default.
- W3188387636 hasConcept C17020691 @default.
- W3188387636 hasConcept C185592680 @default.
- W3188387636 hasConcept C18903297 @default.
- W3188387636 hasConcept C2777299769 @default.
- W3188387636 hasConcept C2778572836 @default.
- W3188387636 hasConcept C33923547 @default.
- W3188387636 hasConcept C41895202 @default.
- W3188387636 hasConcept C42178598 @default.
- W3188387636 hasConcept C55493867 @default.
- W3188387636 hasConcept C86339819 @default.
- W3188387636 hasConcept C86803240 @default.
- W3188387636 hasConceptScore W3188387636C104317684 @default.
- W3188387636 hasConceptScore W3188387636C114614502 @default.
- W3188387636 hasConceptScore W3188387636C118615104 @default.
- W3188387636 hasConceptScore W3188387636C138885662 @default.
- W3188387636 hasConceptScore W3188387636C158448853 @default.
- W3188387636 hasConceptScore W3188387636C17020691 @default.
- W3188387636 hasConceptScore W3188387636C185592680 @default.
- W3188387636 hasConceptScore W3188387636C18903297 @default.
- W3188387636 hasConceptScore W3188387636C2777299769 @default.
- W3188387636 hasConceptScore W3188387636C2778572836 @default.
- W3188387636 hasConceptScore W3188387636C33923547 @default.
- W3188387636 hasConceptScore W3188387636C41895202 @default.
- W3188387636 hasConceptScore W3188387636C42178598 @default.
- W3188387636 hasConceptScore W3188387636C55493867 @default.
- W3188387636 hasConceptScore W3188387636C86339819 @default.
- W3188387636 hasConceptScore W3188387636C86803240 @default.
- W3188387636 hasLocation W31883876361 @default.
- W3188387636 hasOpenAccess W3188387636 @default.
- W3188387636 hasPrimaryLocation W31883876361 @default.
- W3188387636 hasRelatedWork W1614010531 @default.
- W3188387636 hasRelatedWork W1970833527 @default.
- W3188387636 hasRelatedWork W2012861408 @default.
- W3188387636 hasRelatedWork W2052368408 @default.
- W3188387636 hasRelatedWork W2527305137 @default.
- W3188387636 hasRelatedWork W2607308887 @default.