Recent Developments of Function Spaces and Their Applications I
This book includes 13 papers concerning some of the recent progress in the theory of function spaces and its applications. The involved function spaces include Morrey and weak Morrey spaces, Hardy-type spaces, John–Nirenberg spaces, Sobolev spaces, and Besov and Triebel–Lizorkin spaces on different...
שמור ב:
| פורמט: | Online |
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| שפה: | אנגלית |
| יצא לאור: |
MDPI - Multidisciplinary Digital Publishing Institute
2022
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| נושאים: | |
| גישה מקוונת: | ONIX_20220621_9783036540177_63 |
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| _version_ | 1869530978232303616 |
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| collection | Directory of Open Access Books |
| description | This book includes 13 papers concerning some of the recent progress in the theory of function spaces and its applications. The involved function spaces include Morrey and weak Morrey spaces, Hardy-type spaces, John–Nirenberg spaces, Sobolev spaces, and Besov and Triebel–Lizorkin spaces on different underlying spaces, and they are applied in the study of problems ranging from harmonic analysis to potential analysis and partial differential equations, such as the boundedness of paraproducts and Calderón operators, the characterization of pointwise multipliers, estimates of anisotropic logarithmic potential, as well as certain Dirichlet problems for the Schrödinger equation. |
| format | Online |
| id | doab-20.500.12854ir-84485 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2022 |
| publishDateRange | 2022 |
| publishDateSort | 2022 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-844852024-03-28T03:32:31Z Recent Developments of Function Spaces and Their Applications I Yang, Dachun Yuan, Wen expansive matrix (mixed-norm) Hardy space molecule Calderón–Zygmund operator real interpolation besov space meyer wavelet Euclidean space cube congruent cube BMO JNp (localized) John–Nirenberg–Campanato space Riesz–Morrey space vanishing John–Nirenberg space duality commutator commutators Riesz potential homogeneous group space of homogeneous type paraproduct T(1) theorem hardy space bilinear estimate Hajłasz–Sobolev space Hajłasz–Besov space Hajłasz–Triebel–Lizorkin space generalized smoothness Lebesgue point capacity pointwise multipliers Morrey spaces block spaces convexification Calderón operator Hardy’s inequality variable Lebesgue space local Morrey space local block space extrapolation anisotropy Hardy space continuous ellipsoid cover maximal function anisotropic log-potential optimal polynomial inequality annulus body dual log-mixed volume Sobolev spaces compact manifolds tensor bundles differential operators Triebel–Lizorkin space Hardy inequality uniform domain fractional Laplacian Schrödinger equation Morrey space Dirichlet problem metric measure space thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science This book includes 13 papers concerning some of the recent progress in the theory of function spaces and its applications. The involved function spaces include Morrey and weak Morrey spaces, Hardy-type spaces, John–Nirenberg spaces, Sobolev spaces, and Besov and Triebel–Lizorkin spaces on different underlying spaces, and they are applied in the study of problems ranging from harmonic analysis to potential analysis and partial differential equations, such as the boundedness of paraproducts and Calderón operators, the characterization of pointwise multipliers, estimates of anisotropic logarithmic potential, as well as certain Dirichlet problems for the Schrödinger equation. 2022-06-21T08:38:09Z 2022-06-21T08:38:09Z 2022 book ONIX_20220621_9783036540177_63 9783036540177 9783036540184 https://directory.doabooks.org/handle/20.500.12854/84485 eng application/octet-stream Attribution 4.0 International https://mdpi.com/books/pdfview/book/5468 https://mdpi.com/books/pdfview/book/5468 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-0365-4018-4 10.3390/books978-3-0365-4018-4 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783036540177 9783036540184 408 Basel open access |
| spellingShingle | expansive matrix (mixed-norm) Hardy space molecule Calderón–Zygmund operator real interpolation besov space meyer wavelet Euclidean space cube congruent cube BMO JNp (localized) John–Nirenberg–Campanato space Riesz–Morrey space vanishing John–Nirenberg space duality commutator commutators Riesz potential homogeneous group space of homogeneous type paraproduct T(1) theorem hardy space bilinear estimate Hajłasz–Sobolev space Hajłasz–Besov space Hajłasz–Triebel–Lizorkin space generalized smoothness Lebesgue point capacity pointwise multipliers Morrey spaces block spaces convexification Calderón operator Hardy’s inequality variable Lebesgue space local Morrey space local block space extrapolation anisotropy Hardy space continuous ellipsoid cover maximal function anisotropic log-potential optimal polynomial inequality annulus body dual log-mixed volume Sobolev spaces compact manifolds tensor bundles differential operators Triebel–Lizorkin space Hardy inequality uniform domain fractional Laplacian Schrödinger equation Morrey space Dirichlet problem metric measure space thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science Recent Developments of Function Spaces and Their Applications I |
| title | Recent Developments of Function Spaces and Their Applications I |
| title_full | Recent Developments of Function Spaces and Their Applications I |
| title_fullStr | Recent Developments of Function Spaces and Their Applications I |
| title_full_unstemmed | Recent Developments of Function Spaces and Their Applications I |
| title_short | Recent Developments of Function Spaces and Their Applications I |
| title_sort | recent developments of function spaces and their applications i |
| topic | expansive matrix (mixed-norm) Hardy space molecule Calderón–Zygmund operator real interpolation besov space meyer wavelet Euclidean space cube congruent cube BMO JNp (localized) John–Nirenberg–Campanato space Riesz–Morrey space vanishing John–Nirenberg space duality commutator commutators Riesz potential homogeneous group space of homogeneous type paraproduct T(1) theorem hardy space bilinear estimate Hajłasz–Sobolev space Hajłasz–Besov space Hajłasz–Triebel–Lizorkin space generalized smoothness Lebesgue point capacity pointwise multipliers Morrey spaces block spaces convexification Calderón operator Hardy’s inequality variable Lebesgue space local Morrey space local block space extrapolation anisotropy Hardy space continuous ellipsoid cover maximal function anisotropic log-potential optimal polynomial inequality annulus body dual log-mixed volume Sobolev spaces compact manifolds tensor bundles differential operators Triebel–Lizorkin space Hardy inequality uniform domain fractional Laplacian Schrödinger equation Morrey space Dirichlet problem metric measure space thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| topic_facet | expansive matrix (mixed-norm) Hardy space molecule Calderón–Zygmund operator real interpolation besov space meyer wavelet Euclidean space cube congruent cube BMO JNp (localized) John–Nirenberg–Campanato space Riesz–Morrey space vanishing John–Nirenberg space duality commutator commutators Riesz potential homogeneous group space of homogeneous type paraproduct T(1) theorem hardy space bilinear estimate Hajłasz–Sobolev space Hajłasz–Besov space Hajłasz–Triebel–Lizorkin space generalized smoothness Lebesgue point capacity pointwise multipliers Morrey spaces block spaces convexification Calderón operator Hardy’s inequality variable Lebesgue space local Morrey space local block space extrapolation anisotropy Hardy space continuous ellipsoid cover maximal function anisotropic log-potential optimal polynomial inequality annulus body dual log-mixed volume Sobolev spaces compact manifolds tensor bundles differential operators Triebel–Lizorkin space Hardy inequality uniform domain fractional Laplacian Schrödinger equation Morrey space Dirichlet problem metric measure space thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| url | ONIX_20220621_9783036540177_63 |