Matches in SemOpenAlex for { <https://semopenalex.org/work/W4225673945> ?p ?o ?g. }
Showing items 1 to 55 of
55
with 100 items per page.
- W4225673945 abstract "Let $vec{p}in(0,1]^n$ be a $n$-dimensional vector and $A$ a dilation. Let $H_A^{vec{p}}(mathbb{R}^n)$ denote the anisotropic mixed-norm Hardy space defined via the radial maximal function. Using the known atomic characterization of $H_{A}^{vec{p}}(mathbb{R}^n)$ and establishing a uniform estimate for corresponding atoms, the authors prove that the Fourier transform of $fin H_A^{vec{p}}(mathbb{R}^n)$ coincides with a continuous function $F$ on $mathbb{R}^n$ in the sense of tempered distributions. Moreover, the function $F$ can be controlled pointwisely by the product of the Hardy space norm of $f$ and a step function with respect to the transpose matrix of $A$. As applications, the authors obtain a higher order of convergence for the function $F$ at the origin, and an analogue of Hardy--Littlewood inequalities in the present setting of $H_A^{vec{p}}(mathbb{R}^n)$." @default.
- W4225673945 created "2022-05-05" @default.
- W4225673945 creator A5027835055 @default.
- W4225673945 creator A5044212053 @default.
- W4225673945 creator A5049225025 @default.
- W4225673945 date "2021-12-18" @default.
- W4225673945 modified "2023-09-27" @default.
- W4225673945 title "Fourier Transform of Anisotropic Mixed-norm Hardy Spaces with Applications to Hardy-Littlewood Inequalities" @default.
- W4225673945 doi "https://doi.org/10.48550/arxiv.2112.10058" @default.
- W4225673945 hasPublicationYear "2021" @default.
- W4225673945 type Work @default.
- W4225673945 citedByCount "0" @default.
- W4225673945 crossrefType "posted-content" @default.
- W4225673945 hasAuthorship W4225673945A5027835055 @default.
- W4225673945 hasAuthorship W4225673945A5044212053 @default.
- W4225673945 hasAuthorship W4225673945A5049225025 @default.
- W4225673945 hasBestOaLocation W42256739451 @default.
- W4225673945 hasConcept C102519508 @default.
- W4225673945 hasConcept C114614502 @default.
- W4225673945 hasConcept C134306372 @default.
- W4225673945 hasConcept C142730499 @default.
- W4225673945 hasConcept C17744445 @default.
- W4225673945 hasConcept C188422159 @default.
- W4225673945 hasConcept C191795146 @default.
- W4225673945 hasConcept C199539241 @default.
- W4225673945 hasConcept C202444582 @default.
- W4225673945 hasConcept C33923547 @default.
- W4225673945 hasConcept C42178598 @default.
- W4225673945 hasConceptScore W4225673945C102519508 @default.
- W4225673945 hasConceptScore W4225673945C114614502 @default.
- W4225673945 hasConceptScore W4225673945C134306372 @default.
- W4225673945 hasConceptScore W4225673945C142730499 @default.
- W4225673945 hasConceptScore W4225673945C17744445 @default.
- W4225673945 hasConceptScore W4225673945C188422159 @default.
- W4225673945 hasConceptScore W4225673945C191795146 @default.
- W4225673945 hasConceptScore W4225673945C199539241 @default.
- W4225673945 hasConceptScore W4225673945C202444582 @default.
- W4225673945 hasConceptScore W4225673945C33923547 @default.
- W4225673945 hasConceptScore W4225673945C42178598 @default.
- W4225673945 hasLocation W42256739451 @default.
- W4225673945 hasOpenAccess W4225673945 @default.
- W4225673945 hasPrimaryLocation W42256739451 @default.
- W4225673945 hasRelatedWork W1995986851 @default.
- W4225673945 hasRelatedWork W2004688103 @default.
- W4225673945 hasRelatedWork W2005615099 @default.
- W4225673945 hasRelatedWork W2033664892 @default.
- W4225673945 hasRelatedWork W2079162437 @default.
- W4225673945 hasRelatedWork W2166138996 @default.
- W4225673945 hasRelatedWork W2963596177 @default.
- W4225673945 hasRelatedWork W2982939071 @default.
- W4225673945 hasRelatedWork W3044516084 @default.
- W4225673945 hasRelatedWork W45966590 @default.
- W4225673945 isParatext "false" @default.
- W4225673945 isRetracted "false" @default.
- W4225673945 workType "article" @default.