{"product_id":"9780821891193","title":"Global and Local Regularity of Fourier Integral Operators on Weighted and Unweighted Spaces","description":"\u003cp\u003eThe authors investigate the global continuity on $L^p$ spaces with $p\\in [1,\\infty]$ of Fourier integral operators with smooth and rough amplitudes and\/or phase functions subject to certain necessary non-degeneracy conditions. In this context they prove the optimal global $L^2$ boundedness result for Fourier integral operators with non-degenerate phase functions and the most general smooth Hormander class amplitudes i.e. those in $S^{m} _{\\varrho, \\delta}$ with $\\varrho , \\delta \\in [0,1]$. They also prove the very first results concerning the continuity of smooth and rough Fourier integral operators on weighted $L^{p}$ spaces, $L_{w}^p$ with $1\u0026lt; p \u0026lt; \\infty$ and $w\\in A_{p},$ (i.e. the Muckenhoupt weights) for operators with rough and smooth amplitudes and phase functions satisfying a suitable rank condition.\u003c\/p\u003e","brand":"AMS","offers":[{"title":"Default Title","offer_id":47030888268016,"sku":"9780821891193","price":63.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9780821891193_p0.jpg?v=1763743951","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9780821891193","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}