{"product_id":"superharmonic-functions-in-brelot-spaces-3659330736","title":"Superharmonic Functions in Brelot Spaces","description":"\u003cp\u003e\u003cstrong\u003eISBN:\u003c\/strong\u003e 3659330736\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eAuthor:\u003c\/strong\u003e Alakhrass, Mohammad\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eCondition:\u003c\/strong\u003e New\u003c\/p\u003e\u003cp\u003eWe study superharmonic functions, reduced function, harmonic measures and Jensen measures in Brelot spaces. We introduce the concept of quasi multiply superharmonic functions on a product of Brelot spaces and study their properties. A main result obtained is characterizing the quasi superharmonic functions in terms of harmonic, finely harmonic and Jensen measures. Then we prove that a quasi multiply superharmonic function on a product of Brelot spaces equals its lower semicontinuous regularization out side of a 2-negligible set. Further we give a sufficient condition on a Brelot space under which it becomes an extension space for superharmonic functions. As a result we characterize the extreme Jensen measures in such spaces. Finally we study extreme Jensen measures relative to several classes of multiply superharmonic functions.\u003c\/p\u003e","brand":"Mia Karts","offers":[{"title":"Default Title","offer_id":68136190116128,"sku":"NEW3659330736","price":72.22,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0980\/7426\/3840\/files\/61lPaZzi9qS.jpg?v=1793807523","url":"https:\/\/miakarts.com\/products\/superharmonic-functions-in-brelot-spaces-3659330736","provider":"Miakarts Books","version":"1.0","type":"link"}