The hadith of Sayyiduna Ibn Abbas and of Sayyiduna Abbas (may Allah be pleased with them) from the Prophet (peace and blessings be upon him) regarding prostrating on both palms has already passed.
Hadith Referenceالسنن الكبرى للبيهقي / كتاب الصلاة / Q2668
Sayyiduna Amir bin Sa'd narrates from his father (may Allah be pleased with him) that the Messenger of Allah (peace and blessings be upon him) commanded, in the prayer (at the time of prostration), "placing the palms (flat) and keeping the feet upright."
Hadith Referenceالسنن الكبرى للبيهقي / كتاب الصلاة / 2668
Sayyiduna al-Bara' bin Azib (may Allah be pleased with him) says that the Messenger of Allah (peace and blessings be upon him) used to prostrate on the fleshy parts of the palm (the mounds at the base of the thumb).
Hadith Referenceالسنن الكبرى للبيهقي / كتاب الصلاة / 2669
Sayyiduna al-Bara' bin Azib (may Allah be pleased with him) says: "When one of you prostrates, he should prostrate on the fleshy part of the palm (the mound at the base of the thumb)."
Hadith Referenceالسنن الكبرى للبيهقي / كتاب الصلاة / 2670
It is narrated from Sayyiduna Khabbab bin al-Aratt (may Allah be pleased with him) that we complained to the Messenger of Allah (peace and blessings be upon him) about our foreheads and palms burning in the intensity of the heat, but he did not accept our complaint.
Hadith Referenceالسنن الكبرى للبيهقي / كتاب الصلاة / 2671
It is narrated from Sayyiduna Nafi' that when Sayyiduna Abdullah bin Umar (may Allah be pleased with them both) prostrated, he would place his palms on the same thing on which his face was placed.
Nafi' says: I saw him on a day of severe cold bringing his palms out from under his cloak until he placed them on the pebbles.
Hadith Referenceالسنن الكبرى للبيهقي / كتاب الصلاة / 2672
Sayyiduna Abdullah bin Umar (may Allah be pleased with them both) used to say: Whoever places his forehead on the ground for prostration should also place his palms on the ground; then, when he raises (his forehead), he should raise both of them together, for the hands prostrate just as the face (forehead) prostrates.
Hadith Referenceالسنن الكبرى للبيهقي / كتاب الصلاة / 2673