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        <identifier>oai:chuo-u.repo.nii.ac.jp:00001102</identifier>
        <datestamp>2023-05-15T18:49:40Z</datestamp>
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          <dc:title>Bilinear estimates in Besov spaces generated by the Dirichlet Laplacian</dc:title>
          <dc:creator>IWABUCHI, Tsukasa</dc:creator>
          <dc:creator>23325</dc:creator>
          <dc:creator>MATSUYAMA, Tokio</dc:creator>
          <dc:creator>23339</dc:creator>
          <dc:creator>TANIGUCHI, Koichi</dc:creator>
          <dc:creator>23360</dc:creator>
          <dc:subject>bilinear estimates</dc:subject>
          <dc:subject>Besov spaces</dc:subject>
          <dc:subject>the Dirichlet Laplacian</dc:subject>
          <dc:subject>gradient estimates</dc:subject>
          <dc:description>application/pdf</dc:description>
          <dc:description>The purpose of this paper is to establish bilinear estimates in Besov spaces generated by the Dirichlet Laplacian on a domain of Euclidian spaces. These estimates are proved by using the gradient estimates for heat semigroup together with the Bony paraproduct formula and the boundedness of spectral multipliers.</dc:description>
          <dc:description>other</dc:description>
          <dc:publisher>中央大学理工学部数学科</dc:publisher>
          <dc:date>2017-05-24</dc:date>
          <dc:type>AO</dc:type>
          <dc:format>application/pdf</dc:format>
          <dc:identifier>数学科プレプリントシリーズ</dc:identifier>
          <dc:identifier>121</dc:identifier>
          <dc:identifier>PREPRINT SERIES</dc:identifier>
          <dc:identifier>https://chuo-u.repo.nii.ac.jp/record/1102/files/preprint121.pdf</dc:identifier>
          <dc:identifier>https://chuo-u.repo.nii.ac.jp/records/1102</dc:identifier>
          <dc:language>eng</dc:language>
          <dc:rights>この資料の著作権は、資料の著作者または学校法人中央大学に帰属します。著作権法が定める私的利用・引用を超える使用を希望される場合には、掲載誌発行部局へお問い合わせください。</dc:rights>
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