Matches in SemOpenAlex for { <https://semopenalex.org/work/W2897574228> ?p ?o ?g. }
- W2897574228 abstract "We provide an atomic decomposition of the product Hardy spaces $H^p(widetilde{X})$ which were recently developed by Han, Li, and Ward in the setting of product spaces of homogeneous type $widetilde{X} = X_1 times X_2$. Here each factor $(X_i,d_i,mu_i)$, for $i = 1$, $2$, is a space of homogeneous type in the sense of Coifman and Weiss. These Hardy spaces make use of the orthogonal wavelet bases of Auscher and Hytonen and their underlying reference dyadic grids. However, no additional assumptions on the quasi-metric or on the doubling measure for each factor space are made. To carry out this program, we introduce product $(p,q)$-atoms on $widetilde{X}$ and product atomic Hardy spaces $H^{p,q}_{rm at}(widetilde{X})$. As consequences of the atomic decomposition of $H^p(widetilde{X})$, we show that for all $q > 1$ the product atomic Hardy spaces coincide with the product Hardy spaces, and we show that the product Hardy spaces are independent of the particular choices of both the wavelet bases and the reference dyadic grids. Likewise, the product Carleson measure spaces ${rm CMO}^p(widetilde{X})$, the bounded mean oscillation space ${rm BMO}(widetilde{X})$, and the vanishing mean oscillation space ${rm VMO}(widetilde{X})$, as defined by Han, Li, and Ward, are also independent of the particular choices of both wavelets and reference dyadic grids." @default.
- W2897574228 created "2018-10-26" @default.
- W2897574228 creator A5008522006 @default.
- W2897574228 creator A5011205639 @default.
- W2897574228 creator A5033211512 @default.
- W2897574228 creator A5064803348 @default.
- W2897574228 date "2018-10-09" @default.
- W2897574228 modified "2023-09-23" @default.
- W2897574228 title "Atomic decomposition of product Hardy spaces via wavelet bases on spaces of homogeneous type" @default.
- W2897574228 cites W1160364328 @default.
- W2897574228 cites W1516579295 @default.
- W2897574228 cites W1576998059 @default.
- W2897574228 cites W180116548 @default.
- W2897574228 cites W1988563364 @default.
- W2897574228 cites W1990182066 @default.
- W2897574228 cites W1992084003 @default.
- W2897574228 cites W2005469207 @default.
- W2897574228 cites W2013262925 @default.
- W2897574228 cites W2016737354 @default.
- W2897574228 cites W2052159542 @default.
- W2897574228 cites W2069190132 @default.
- W2897574228 cites W2081462990 @default.
- W2897574228 cites W2081818744 @default.
- W2897574228 cites W2082710360 @default.
- W2897574228 cites W2083129101 @default.
- W2897574228 cites W2086510139 @default.
- W2897574228 cites W2088722260 @default.
- W2897574228 cites W2091571469 @default.
- W2897574228 cites W2094197368 @default.
- W2897574228 cites W2105099527 @default.
- W2897574228 cites W2963089797 @default.
- W2897574228 cites W2963298659 @default.
- W2897574228 cites W2963574804 @default.
- W2897574228 cites W2963604701 @default.
- W2897574228 cites W2963811732 @default.
- W2897574228 cites W773231931 @default.
- W2897574228 hasPublicationYear "2018" @default.
- W2897574228 type Work @default.
- W2897574228 sameAs 2897574228 @default.
- W2897574228 citedByCount "0" @default.
- W2897574228 crossrefType "posted-content" @default.
- W2897574228 hasAuthorship W2897574228A5008522006 @default.
- W2897574228 hasAuthorship W2897574228A5011205639 @default.
- W2897574228 hasAuthorship W2897574228A5033211512 @default.
- W2897574228 hasAuthorship W2897574228A5064803348 @default.
- W2897574228 hasConcept C111919701 @default.
- W2897574228 hasConcept C114614502 @default.
- W2897574228 hasConcept C134306372 @default.
- W2897574228 hasConcept C154945302 @default.
- W2897574228 hasConcept C185592680 @default.
- W2897574228 hasConcept C18903297 @default.
- W2897574228 hasConcept C198043062 @default.
- W2897574228 hasConcept C202444582 @default.
- W2897574228 hasConcept C2524010 @default.
- W2897574228 hasConcept C2777299769 @default.
- W2897574228 hasConcept C2778439541 @default.
- W2897574228 hasConcept C2778572836 @default.
- W2897574228 hasConcept C2780009758 @default.
- W2897574228 hasConcept C33923547 @default.
- W2897574228 hasConcept C34388435 @default.
- W2897574228 hasConcept C41008148 @default.
- W2897574228 hasConcept C42178598 @default.
- W2897574228 hasConcept C47432892 @default.
- W2897574228 hasConcept C55493867 @default.
- W2897574228 hasConcept C66882249 @default.
- W2897574228 hasConcept C77088390 @default.
- W2897574228 hasConcept C86803240 @default.
- W2897574228 hasConcept C90673727 @default.
- W2897574228 hasConceptScore W2897574228C111919701 @default.
- W2897574228 hasConceptScore W2897574228C114614502 @default.
- W2897574228 hasConceptScore W2897574228C134306372 @default.
- W2897574228 hasConceptScore W2897574228C154945302 @default.
- W2897574228 hasConceptScore W2897574228C185592680 @default.
- W2897574228 hasConceptScore W2897574228C18903297 @default.
- W2897574228 hasConceptScore W2897574228C198043062 @default.
- W2897574228 hasConceptScore W2897574228C202444582 @default.
- W2897574228 hasConceptScore W2897574228C2524010 @default.
- W2897574228 hasConceptScore W2897574228C2777299769 @default.
- W2897574228 hasConceptScore W2897574228C2778439541 @default.
- W2897574228 hasConceptScore W2897574228C2778572836 @default.
- W2897574228 hasConceptScore W2897574228C2780009758 @default.
- W2897574228 hasConceptScore W2897574228C33923547 @default.
- W2897574228 hasConceptScore W2897574228C34388435 @default.
- W2897574228 hasConceptScore W2897574228C41008148 @default.
- W2897574228 hasConceptScore W2897574228C42178598 @default.
- W2897574228 hasConceptScore W2897574228C47432892 @default.
- W2897574228 hasConceptScore W2897574228C55493867 @default.
- W2897574228 hasConceptScore W2897574228C66882249 @default.
- W2897574228 hasConceptScore W2897574228C77088390 @default.
- W2897574228 hasConceptScore W2897574228C86803240 @default.
- W2897574228 hasConceptScore W2897574228C90673727 @default.
- W2897574228 hasLocation W28975742281 @default.
- W2897574228 hasOpenAccess W2897574228 @default.
- W2897574228 hasPrimaryLocation W28975742281 @default.
- W2897574228 hasRelatedWork W1514720404 @default.
- W2897574228 hasRelatedWork W1589101744 @default.
- W2897574228 hasRelatedWork W2018808163 @default.
- W2897574228 hasRelatedWork W2068945016 @default.
- W2897574228 hasRelatedWork W2140349457 @default.
- W2897574228 hasRelatedWork W2235922218 @default.