{"product_id":"weighted-bergman-spaces-induced-by-rapidly-increasing-weights","title":"Weighted Bergman Spaces Induced by Rapidly Increasing Weights","description":"\u003cp\u003eThis monograph is devoted to the study of the weighted Bergman space $A^p_\\omega$ of the unit disc $\\mathbb{D}$ that is induced by a radial continuous weight $\\omega$ satisfying $\\lim_{r\\to 1^-}\\frac{\\int_r^1\\omega(s)\\,ds}{\\omega(r)(1-r)}=\\infty.$ Every such $A^p_\\omega$ lies between the Hardy space $H^p$ and every classical weighted Bergman space $A^p_\\alpha$. Even if it is well known that $H^p$ is the limit of $A^p_\\alpha$, as $\\alpha\\to-1$, in many respects, it is shown that $A^p_\\omega$ lies ``closer'' to $H^p$ than any $A^p_\\alpha$, and that several finer function-theoretic properties of $A^p_\\alpha$ do not carry over to $A^p_\\omega$.\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003e\n\u003cb\u003eAuthor:\u003c\/b\u003e Jose Angel Pelaez, Jouni Rattya\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003ePublisher:\u003c\/b\u003e American Mathematical Soc.\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003ePublished:\u003c\/b\u003e 2014-01-08\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003ePages:\u003c\/b\u003e 136\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"American Mathematical Soc.","offers":[{"title":"Default Title","offer_id":62808803017075,"sku":"9780821888025","price":200.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0987\/0812\/8115\/files\/content_081c984a-3fdd-4013-b83b-8a38abb6001d.jpg?v=1777973627","url":"https:\/\/readaura.store\/products\/weighted-bergman-spaces-induced-by-rapidly-increasing-weights","provider":"Read Aura","version":"1.0","type":"link"}