{"@context":{"@vocab":"https://cir.nii.ac.jp/schema/1.0/","rdfs":"http://www.w3.org/2000/01/rdf-schema#","dc":"http://purl.org/dc/elements/1.1/","dcterms":"http://purl.org/dc/terms/","foaf":"http://xmlns.com/foaf/0.1/","prism":"http://prismstandard.org/namespaces/basic/2.0/","cinii":"http://ci.nii.ac.jp/ns/1.0/","datacite":"https://schema.datacite.org/meta/kernel-4/","ndl":"http://ndl.go.jp/dcndl/terms/","jpcoar":"https://github.com/JPCOAR/schema/blob/master/2.0/"},"@id":"https://cir.nii.ac.jp/crid/1363388844237076480.json","@type":"Article","productIdentifier":[{"identifier":{"@type":"DOI","@value":"10.1090/s0002-9939-2013-11303-1"}},{"identifier":{"@type":"URI","@value":"http://www.ams.org/proc/2014-142-03/S0002-9939-2013-11303-1/S0002-9939-2013-11303-1.pdf"}},{"identifier":{"@type":"URI","@value":"https://www.ams.org/proc/2014-142-03/S0002-9939-2013-11303-1/S0002-9939-2013-11303-1.pdf"}}],"dc:title":[{"@value":"Mock Morrey spaces"}],"description":[{"type":"abstract","notation":[{"@value":"<p>\n                    For any function\n                    <inline-formula content-type=\"math/mathml\">\n                      <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"f\">\n                        <mml:semantics>\n                          <mml:mi>f</mml:mi>\n                          <mml:annotation encoding=\"application/x-tex\">f</mml:annotation>\n                        </mml:semantics>\n                      </mml:math>\n                    </inline-formula>\n                    belonging to\n                    <inline-formula content-type=\"math/mathml\">\n                      <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper Q Superscript p comma lamda\">\n                        <mml:semantics>\n                          <mml:msup>\n                            <mml:mi>Q</mml:mi>\n                            <mml:mrow class=\"MJX-TeXAtom-ORD\">\n                              <mml:mi>p</mml:mi>\n                              <mml:mo>,</mml:mo>\n                              <mml:mi>\n                                λ\n                                \n                              </mml:mi>\n                            </mml:mrow>\n                          </mml:msup>\n                          <mml:annotation encoding=\"application/x-tex\">Q^{p,\\lambda }</mml:annotation>\n                        </mml:semantics>\n                      </mml:math>\n                    </inline-formula>\n                    , a certain proper subspace of the classical Morrey space\n                    <inline-formula content-type=\"math/mathml\">\n                      <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper L Superscript p comma lamda\">\n                        <mml:semantics>\n                          <mml:msup>\n                            <mml:mi>L</mml:mi>\n                            <mml:mrow class=\"MJX-TeXAtom-ORD\">\n                              <mml:mi>p</mml:mi>\n                              <mml:mo>,</mml:mo>\n                              <mml:mi>\n                                λ\n                                \n                              </mml:mi>\n                            </mml:mrow>\n                          </mml:msup>\n                          <mml:annotation encoding=\"application/x-tex\">L^{p, \\lambda }</mml:annotation>\n                        </mml:semantics>\n                      </mml:math>\n                    </inline-formula>\n                    , a sharp capacity weak-type estimate is obtained for its Riesz potential\n                    <inline-formula content-type=\"math/mathml\">\n                      <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper I Subscript alpha Baseline f\">\n                        <mml:semantics>\n                          <mml:mrow>\n                            <mml:msub>\n                              <mml:mi>I</mml:mi>\n                              <mml:mrow class=\"MJX-TeXAtom-ORD\">\n                                <mml:mi>\n                                  α\n                                  \n                                </mml:mi>\n                              </mml:mrow>\n                            </mml:msub>\n                            <mml:mi>f</mml:mi>\n                          </mml:mrow>\n                          <mml:annotation encoding=\"application/x-tex\">I_{\\alpha } f</mml:annotation>\n                        </mml:semantics>\n                      </mml:math>\n                    </inline-formula>\n                    . This extends a 1969 result due to Franco Conti.\n                  </p>"}]}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1383388844237076480","@type":"Researcher","foaf:name":[{"@value":"David Adams"}]}],"publication":{"publicationIdentifier":[{"@type":"EISSN","@value":"10886826"},{"@type":"PISSN","@value":"00029939"}],"prism:publicationName":[{"@value":"Proceedings of the American Mathematical Society"}],"dc:publisher":[{"@value":"American Mathematical Society (AMS)"}],"prism:publicationDate":"2013-11-27","prism:volume":"142","prism:number":"3","prism:startingPage":"881","prism:endingPage":"886"},"reviewed":"false","dc:rights":["https://www.ams.org/publications/copyright-and-permissions"],"url":[{"@id":"http://www.ams.org/proc/2014-142-03/S0002-9939-2013-11303-1/S0002-9939-2013-11303-1.pdf"},{"@id":"https://www.ams.org/proc/2014-142-03/S0002-9939-2013-11303-1/S0002-9939-2013-11303-1.pdf"}],"createdAt":"2013-11-27","modifiedAt":"2026-03-11","relatedProduct":[{"@id":"https://cir.nii.ac.jp/crid/1360567181552294528","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Morrey-type Space and Its Köthe Dual Space"}]}],"dataSourceIdentifier":[{"@type":"CROSSREF","@value":"10.1090/s0002-9939-2013-11303-1"},{"@type":"CROSSREF","@value":"10.1007/s40840-016-0382-7_references_DOI_7uVwi99xfHhdtbc6wSscADRZV3C"}]}